LCM for 90 and 345

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What's the Least Common Multiple (LCM) of 90 and 345?

Answer

LCM of 90 and 345 is
2,070

First common multiples: 2,070; 4,140; 6,210; …

2,070 is divisible by both: 2,070 ÷ 90 = 23; 2,070 ÷ 345 = 6 — and 23 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/90 by 23 and of y/345 by 6.

90 = 2 × 32 × 5

345 = 3 × 5 × 23

Prime90345Highest power
22—2
332332
5555
23—2323

— = 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 × 23 = 2,070

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
90165990
901901,710
902001,800
902053,690
90210630
902153,870
902302,070
902354,230
902502,250
902551,530
902602,340
90270270
902754,950
902802,520
902851,710
902902,610
903055,490
90315630
903452,070
90360360
903856,930
90405810
904257,650
904303,870
904403,960
904458,010
904604,140
904758,550
904904,410
90495990

FAQ

What's the Least Common Multiple (LCM) of 90 and 345?

LCM of 90 and 345 is 2,070

How to find the LCM of 90 and 345 using prime factorization?

To find the LCM of 90 and 345, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,070.

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 90 and 345: LCM = 2,070, GCF = 15.

See Also