LCM for 35 and 37
What's the Least Common Multiple (LCM) of 35 and 37?
Answer
(One thousand, two hundred ninety-five)
Finding LCM for 35 and 37 using GCF of these numbers
The first method to find LCM for numbers 35 and 37 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 35 and 37 is 1, so
LCM = (35 × 37) ÷ 1
LCM = 1295 ÷ 1
LCM = 1295
Finding LCM for 35 and 37 by Listing Multiples
The second method to find LCM for numbers 35 and 37 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
Multiples of 37: 37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, 444, 481, 518, 555, 592, 629, 666, 703, 740, 777, 814, 851, 888, 925, 962, 999, 1036, 1073, 1110, 1147, 1184, 1221, 1258, 1295, 1332, 1369
So the LCM for 35 and 37 is 1295
Finding LCM for 35 and 37 by Prime Factorization
Another method to find LCM for numbers 35 and 37 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 37: 37 (exponent form: 371)
51 × 71 × 371 = 1295
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/35--37">What is the LCM of 35 and 37? - Calculatio</a>
LCM Table
About "Least Common Multiple" Calculator
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