LCM for 75 and 80

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What's the Least Common Multiple (LCM) of 75 and 80?

Answer

LCM of 75 and 80 is
1,200

First common multiples: 1,200; 2,400; 3,600; …

1,200 is divisible by both: 1,200 ÷ 75 = 16; 1,200 ÷ 80 = 15 — and 16 and 15 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/75 by 16 and of y/80 by 15.

75 = 3 × 52

80 = 24 × 5

Prime7580Highest power
2—2424
33—3
552552

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

LCM = 24 × 3 × 52 = 1,200

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LCM Table

Number 1Number 2LCM
7565975
75661,650
75675,025
75685,100
75691,725
75701,050
75715,325
75721,800
75735,475
75745,550
757575
75765,700
75775,775
75781,950
75795,925
75801,200
75812,025
75826,150
75836,225
75842,100
75851,275
75866,450
75872,175
75886,600
75896,675
7590450
75916,825
75926,900
75932,325
75947,050

FAQ

What's the Least Common Multiple (LCM) of 75 and 80?

LCM of 75 and 80 is 1,200

How to find the LCM of 75 and 80 using prime factorization?

To find the LCM of 75 and 80, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,200.

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 75 and 80: LCM = 1,200, GCF = 5.

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