GCF and LCM Calculator Logo

What is the Least Common Multiple of 68478 and 68484?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 68478 and 68484 is 781607892.

LCM(68478,68484) = 781607892

LCM Calculator and
and

Least Common Multiple of 68478 and 68484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68478 and 68484, than apply into the LCM equation.

GCF(68478,68484) = 6
LCM(68478,68484) = ( 68478 × 68484) / 6
LCM(68478,68484) = 4689647352 / 6
LCM(68478,68484) = 781607892

Least Common Multiple (LCM) of 68478 and 68484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68478 and 68484. First we will calculate the prime factors of 68478 and 68484.

Prime Factorization of 68478

Prime factors of 68478 are 2, 3, 101, 113. Prime factorization of 68478 in exponential form is:

68478 = 21 × 31 × 1011 × 1131

Prime Factorization of 68484

Prime factors of 68484 are 2, 3, 13, 439. Prime factorization of 68484 in exponential form is:

68484 = 22 × 31 × 131 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 68478 and 68484.

LCM(68478,68484) = 22 × 31 × 1011 × 1131 × 131 × 4391
LCM(68478,68484) = 781607892