LCM for 55 and 100

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What's the Least Common Multiple (LCM) of 55 and 100?

Answer

LCM of 55 and 100 is
1,100

First common multiples: 1,100; 2,200; 3,300; …

1,100 is divisible by both: 1,100 ÷ 55 = 20; 1,100 ÷ 100 = 11 — and 20 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/55 by 20 and of y/100 by 11.

55 = 5 × 11

100 = 22 × 52

Prime55100Highest power
2—2222
555252
1111—11

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

LCM = 22 × 52 × 11 = 1,100

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LCM Table

Number 1Number 2LCM
5585935
55864,730
55874,785
5588440
55894,895
5590990
55915,005
55925,060
55935,115
55945,170
55951,045
55965,280
55975,335
55985,390
5599495
551001,100
551015,555
551025,610
551035,665
551045,720
551051,155
551065,830
551075,885
551085,940
551095,995
55110110
551116,105
551126,160
551136,215
551146,270

FAQ

What's the Least Common Multiple (LCM) of 55 and 100?

LCM of 55 and 100 is 1,100

How to find the LCM of 55 and 100 using prime factorization?

To find the LCM of 55 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,100.

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 55 and 100: LCM = 1,100, GCF = 5.

See Also