What is the Least Common Multiple of 94550 and 94558?

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 94550 and 94558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94550 and 94558, than apply into the LCM equation.

GCF(94550,94558) = 2
LCM(94550,94558) = ( 94550 × 94558) / 2
LCM(94550,94558) = 8940458900 / 2
LCM(94550,94558) = 4470229450

Least Common Multiple (LCM) of 94550 and 94558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94550 and 94558. First we will calculate the prime factors of 94550 and 94558.

Prime Factorization of 94550

Prime Factorization of 94558

Now multiplying the highest exponent prime factors to calculate the LCM of 94550 and 94558.

LCM(94550,94558) = 2¹ × 5² × 31¹ × 61¹ × 47279¹
LCM(94550,94558) = 4470229450