What is the Least Common Multiple of 92844 and 92860?

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 92844 and 92860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92844 and 92860, than apply into the LCM equation.

GCF(92844,92860) = 4
LCM(92844,92860) = ( 92844 × 92860) / 4
LCM(92844,92860) = 8621493840 / 4
LCM(92844,92860) = 2155373460

Least Common Multiple (LCM) of 92844 and 92860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92844 and 92860. First we will calculate the prime factors of 92844 and 92860.

Prime Factorization of 92844

Prime Factorization of 92860

Now multiplying the highest exponent prime factors to calculate the LCM of 92844 and 92860.

LCM(92844,92860) = 2² × 3² × 2579¹ × 5¹ × 4643¹
LCM(92844,92860) = 2155373460