What is the Least Common Multiple of 58076 and 58082?

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 58076 and 58082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58076 and 58082, than apply into the LCM equation.

GCF(58076,58082) = 2
LCM(58076,58082) = ( 58076 × 58082) / 2
LCM(58076,58082) = 3373170232 / 2
LCM(58076,58082) = 1686585116

Least Common Multiple (LCM) of 58076 and 58082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58076 and 58082. First we will calculate the prime factors of 58076 and 58082.

Prime Factorization of 58076

Prime Factorization of 58082

Now multiplying the highest exponent prime factors to calculate the LCM of 58076 and 58082.

LCM(58076,58082) = 2² × 14519¹ × 113¹ × 257¹
LCM(58076,58082) = 1686585116