LCM for 80 and 255

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What's the Least Common Multiple (LCM) of 80 and 255?

Answer

LCM of 80 and 255 is
4,080

First common multiples: 4,080; 8,160; 12,240; …

4,080 is divisible by both: 4,080 ÷ 80 = 51; 4,080 ÷ 255 = 16 — and 51 and 16 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/80 by 51 and of y/255 by 16.

80 = 24 × 5

255 = 3 × 5 × 17

Prime80255Highest power
224—24
3—33
5555
17—1717

— = 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 × 17 = 4,080

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LCM Table

Number 1Number 2LCM
801452,320
801501,200
801552,480
80160160
801652,640
801752,800
80180720
801852,960
801953,120
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
80400400
804056,480
804156,640
804201,680
804303,440
804356,960

FAQ

What's the Least Common Multiple (LCM) of 80 and 255?

LCM of 80 and 255 is 4,080

How to find the LCM of 80 and 255 using prime factorization?

To find the LCM of 80 and 255, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 4,080.

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 255: LCM = 4,080, GCF = 5.

See Also