LCM for 85 and 100

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 85 and 100?

Answer

LCM of 85 and 100 is
1,700

(One thousand seven hundred)

Finding LCM for 85 and 100 using GCF of these numbers

The first method to find LCM for numbers 85 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 85 and 100 is 5, so

LCM = (85 × 100) ÷ 5

LCM = 8,500 ÷ 5

LCM = 1,700

Finding LCM for 85 and 100 by Listing Multiples

The second method to find LCM for numbers 85 and 100 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 85: 85, 170, 255, 340, 425, 510, 595, 680, 765, 850, 935, 1,020, 1,105, 1,190, 1,275, 1,360, 1,445, 1,530, 1,615, 1,700, 1,785, 1,870

Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1,000, 1,100, 1,200, 1,300, 1,400, 1,500, 1,600, 1,700, 1,800, 1,900

So the LCM for 85 and 100 is 1,700

Finding LCM for 85 and 100 by Prime Factorization

Another method to find LCM for numbers 85 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 85: 5, 17 (exponent form: 51, 171)

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

52 × 171 × 22 = 1,700

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 85 and 100? (The answer is: 1,700). Select the first number (e.g. '85') and the second number (e.g. '100'). 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
858585
85867,310
85877,395
85887,480
85897,565
85901,530
85917,735
85927,820
85937,905
85947,990
85951,615
85968,160
85978,245
85988,330
85998,415
851001,700
851018,585
85102510
851038,755
851048,840
851051,785
851069,010
851079,095
851089,180
851099,265
851101,870
851119,435
851129,520
851139,605
851149,690

FAQ

What's the Least Common Multiple (LCM) of 85 and 100?

LCM of 85 and 100 is 1,700

How to find the LCM of 85 and 100 using prime factorization?

To find the LCM of 85 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,700.

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 85 and 100: LCM = 1,700, GCF = 5.

See Also