LCM for 85 and 90

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What's the Least Common Multiple (LCM) of 85 and 90?

Answer

LCM of 85 and 90 is
1,530

First common multiples: 1,530; 3,060; 4,590; …

1,530 is divisible by both: 1,530 ÷ 85 = 18; 1,530 ÷ 90 = 17 — and 18 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 18 and of y/90 by 17.

85 = 5 × 17

90 = 2 × 32 × 5

Prime8590Highest power
2—22
3—3232
5555
1717—17

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

LCM = 2 × 32 × 5 × 17 = 1,530

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LCM Table

Number 1Number 2LCM
85751,275
85766,460
85776,545
85786,630
85796,715
85801,360
85816,885
85826,970
85837,055
85847,140
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

FAQ

What's the Least Common Multiple (LCM) of 85 and 90?

LCM of 85 and 90 is 1,530

How to find the LCM of 85 and 90 using prime factorization?

To find the LCM of 85 and 90, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,530.

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 90: LCM = 1,530, GCF = 5.

See Also