What is the Least Common Multiple of 92546 and 92550?

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 92546 and 92550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92546 and 92550, than apply into the LCM equation.

GCF(92546,92550) = 2
LCM(92546,92550) = ( 92546 × 92550) / 2
LCM(92546,92550) = 8565132300 / 2
LCM(92546,92550) = 4282566150

Least Common Multiple (LCM) of 92546 and 92550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92546 and 92550. First we will calculate the prime factors of 92546 and 92550.

Prime Factorization of 92546

Prime Factorization of 92550

Now multiplying the highest exponent prime factors to calculate the LCM of 92546 and 92550.

LCM(92546,92550) = 2¹ × 46273¹ × 3¹ × 5² × 617¹
LCM(92546,92550) = 4282566150