LCM for 85 and 100

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

Answer

LCM of 85 and 100 is
1,700

First common multiples: 1,700; 3,400; 5,100; …

1,700 is divisible by both: 1,700 ÷ 85 = 20; 1,700 ÷ 100 = 17 — and 20 and 17 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/85 by 20 and of y/100 by 17.

85 = 5 × 17

100 = 22 × 52

Prime85100Highest power
2—2222
555252
1717—17

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 22 × 52 × 17 = 1,700

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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