What is the Least Common Multiple of 62076 and 62096?

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 62076 and 62096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62076 and 62096, than apply into the LCM equation.

GCF(62076,62096) = 4
LCM(62076,62096) = ( 62076 × 62096) / 4
LCM(62076,62096) = 3854671296 / 4
LCM(62076,62096) = 963667824

Least Common Multiple (LCM) of 62076 and 62096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62076 and 62096. First we will calculate the prime factors of 62076 and 62096.

Prime Factorization of 62076

Prime Factorization of 62096

Now multiplying the highest exponent prime factors to calculate the LCM of 62076 and 62096.

LCM(62076,62096) = 2⁴ × 3¹ × 7¹ × 739¹ × 3881¹
LCM(62076,62096) = 963667824