LCM for 78 and 100

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What's the Least Common Multiple (LCM) of 78 and 100?

Answer

LCM of 78 and 100 is
3,900

First common multiples: 3,900; 7,800; 11,700; …

3,900 is divisible by both: 3,900 ÷ 78 = 50; 3,900 ÷ 100 = 39 — and 50 and 39 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/78 by 50 and of y/100 by 39.

78 = 2 × 3 × 13

100 = 22 × 52

Prime78100Highest power
222222
33—3
5—5252
1313—13

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

LCM = 22 × 3 × 52 × 13 = 3,900

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LCM Table

Number 1Number 2LCM
78856,630
78863,354
78872,262
78883,432
78896,942
78901,170
7891546
78923,588
78932,418
78943,666
78957,410
78961,248
78977,566
78983,822
78992,574
781003,900
781017,878
781021,326
781038,034
78104312
781052,730
781064,134
781078,346
781081,404
781098,502
781104,290
781112,886
781124,368
781138,814
781141,482

FAQ

What's the Least Common Multiple (LCM) of 78 and 100?

LCM of 78 and 100 is 3,900

How to find the LCM of 78 and 100 using prime factorization?

To find the LCM of 78 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,900.

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 78 and 100: LCM = 3,900, GCF = 2.

See Also