What is the Least Common Multiple of 92676 and 92689?

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 92676 and 92689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92676 and 92689, than apply into the LCM equation.

GCF(92676,92689) = 1
LCM(92676,92689) = ( 92676 × 92689) / 1
LCM(92676,92689) = 8590045764 / 1
LCM(92676,92689) = 8590045764

Least Common Multiple (LCM) of 92676 and 92689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92676 and 92689. First we will calculate the prime factors of 92676 and 92689.

Prime Factorization of 92676

Prime Factorization of 92689

Now multiplying the highest exponent prime factors to calculate the LCM of 92676 and 92689.

LCM(92676,92689) = 2² × 3¹ × 7723¹ × 59¹ × 1571¹
LCM(92676,92689) = 8590045764