LCM for 78 and 104

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 78 and 104?

Answer

LCM of 78 and 104 is
312

First common multiples: 312, 624, 936, …

312 is divisible by both: 312 ÷ 78 = 4, 312 ÷ 104 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/78 by 4 and of y/104 by 3.

78 = 2 × 3 × 13

104 = 23 × 13

Prime78104Highest power
222323
33—3
13131313

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

LCM = 23 × 3 × 13 = 312

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
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
781158,970
781164,524
78117234
781184,602

FAQ

What's the Least Common Multiple (LCM) of 78 and 104?

LCM of 78 and 104 is 312

How to find the LCM of 78 and 104 using prime factorization?

To find the LCM of 78 and 104, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 312.

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 104: LCM = 312, GCF = 26.

See Also