LCM for 80 and 120

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What's the Least Common Multiple (LCM) of 80 and 120?

Answer

LCM of 80 and 120 is
240

First common multiples: 240, 480, 720, …

240 is divisible by both: 240 ÷ 80 = 3, 240 ÷ 120 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/80 by 3 and of y/120 by 2.

80 = 24 × 5

120 = 23 × 3 × 5

Prime80120Highest power
2242324
3—33
5555

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

LCM = 24 × 3 × 5 = 240

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LCM Table

Number 1Number 2LCM
802080
80841,680
8090720
8096480
80112560
801151,840
80120240
801301,040
80144720
801452,320
801501,200
801552,480
801652,640
801752,800
80180720
80200400
802053,280
802101,680
802153,440
802301,840
802453,920
802554,080
802754,400
802854,560
802902,320
803001,200
803255,200
803502,800
803555,680
803956,320

FAQ

What's the Least Common Multiple (LCM) of 80 and 120?

LCM of 80 and 120 is 240

How to find the LCM of 80 and 120 using prime factorization?

To find the LCM of 80 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 240.

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 80 and 120: LCM = 240, GCF = 40.

See Also