GCF and LCM Calculator Logo

What is the Least Common Multiple of 92672 and 92684?

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 92672 and 92684 is 2147302912.

LCM(92672,92684) = 2147302912

LCM Calculator and
and

Least Common Multiple of 92672 and 92684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92672 and 92684, than apply into the LCM equation.

GCF(92672,92684) = 4
LCM(92672,92684) = ( 92672 × 92684) / 4
LCM(92672,92684) = 8589211648 / 4
LCM(92672,92684) = 2147302912

Least Common Multiple (LCM) of 92672 and 92684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92672 and 92684. First we will calculate the prime factors of 92672 and 92684.

Prime Factorization of 92672

Prime factors of 92672 are 2, 181. Prime factorization of 92672 in exponential form is:

92672 = 29 × 1811

Prime Factorization of 92684

Prime factors of 92684 are 2, 17, 29, 47. Prime factorization of 92684 in exponential form is:

92684 = 22 × 171 × 291 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 92672 and 92684.

LCM(92672,92684) = 29 × 1811 × 171 × 291 × 471
LCM(92672,92684) = 2147302912