LCM for 85 and 120

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What's the Least Common Multiple (LCM) of 85 and 120?

Answer

LCM of 85 and 120 is
2,040

First common multiples: 2,040; 4,080; 6,120; …

2,040 is divisible by both: 2,040 ÷ 85 = 24; 2,040 ÷ 120 = 17 — and 24 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 24 and of y/120 by 17.

85 = 5 × 17

120 = 23 × 3 × 5

Prime85120Highest power
2—2323
3—33
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 = 23 × 3 × 5 × 17 = 2,040

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
851051,785
851069,010
851079,095
851089,180
851099,265
851101,870
851119,435
851129,520
851139,605
851149,690
851151,955
851169,860
851179,945
8511810,030
85119595
851202,040
8512110,285
8512210,370
8512310,455
8512410,540
851252,125
8512610,710
8512710,795
8512810,880
8512910,965
851302,210
8513111,135
8513211,220
8513311,305
8513411,390

FAQ

What's the Least Common Multiple (LCM) of 85 and 120?

LCM of 85 and 120 is 2,040

How to find the LCM of 85 and 120 using prime factorization?

To find the LCM of 85 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,040.

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 120: LCM = 2,040, GCF = 5.

See Also