What is the Least Common Multiple of 95076 and 95080?

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 95076 and 95080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95076 and 95080, than apply into the LCM equation.

GCF(95076,95080) = 4
LCM(95076,95080) = ( 95076 × 95080) / 4
LCM(95076,95080) = 9039826080 / 4
LCM(95076,95080) = 2259956520

Least Common Multiple (LCM) of 95076 and 95080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95076 and 95080. First we will calculate the prime factors of 95076 and 95080.

Prime Factorization of 95076

Prime Factorization of 95080

Now multiplying the highest exponent prime factors to calculate the LCM of 95076 and 95080.

LCM(95076,95080) = 2³ × 3² × 19¹ × 139¹ × 5¹ × 2377¹
LCM(95076,95080) = 2259956520