LCM for 35 and 57

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 35 and 57?

Answer

LCM of 35 and 57 is 1,995

(One thousand, nine hundred ninety-five)

Finding LCM for 35 and 57 using GCF of these numbers

The first method to find LCM for numbers 35 and 57 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 35 and 57 is 1, so

LCM = (35 × 57) ÷ 1

LCM = 1995 ÷ 1

LCM = 1995

Finding LCM for 35 and 57 by Listing Multiples

The second method to find LCM for numbers 35 and 57 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 35: 35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490, 525, 560, 595, 630, 665, 700, 735, 770, 805, 840, 875, 910, 945, 980, 1015, 1050, 1085, 1120, 1155, 1190, 1225, 1260, 1295, 1330, 1365, 1400, 1435, 1470, 1505, 1540, 1575, 1610, 1645, 1680, 1715, 1750, 1785, 1820, 1855, 1890, 1925, 1960, 1995, 2030, 2065

Multiples of 57: 57, 114, 171, 228, 285, 342, 399, 456, 513, 570, 627, 684, 741, 798, 855, 912, 969, 1026, 1083, 1140, 1197, 1254, 1311, 1368, 1425, 1482, 1539, 1596, 1653, 1710, 1767, 1824, 1881, 1938, 1995, 2052, 2109

So the LCM for 35 and 57 is 1995

Finding LCM for 35 and 57 by Prime Factorization

Another method to find LCM for numbers 35 and 57 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 35: 5, 7 (exponent form: 51, 71)

All Prime Factors of 57: 3, 19 (exponent form: 31, 191)

51 × 71 × 31 × 191 = 1995

Related Calculations

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 35 and 57? (The answer is: 1995). Select the first number (e.g. '35') and the second number (e.g. '57'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
351470
35361260
35371295
35381330
3540280
3542210
35431505
3545315
35471645
3549245
3550350
35521820
35531855
3555385
3556280
35571995
35592065
3560420

FAQ

What's the Least Common Multiple (LCM) of 35 and 57?

LCM of 35 and 57 is 1,995

How to find the LCM of 35 and 57 using prime factorization?

To find the LCM of 35 and 57, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,995.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 35 and 57: LCM = 1,995, GCF = 1.

See Also