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 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 Factorization of 92684

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