What is the Least Common Multiple of 95268 and 95280?

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 95268 and 95280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95268 and 95280, than apply into the LCM equation.

GCF(95268,95280) = 12
LCM(95268,95280) = ( 95268 × 95280) / 12
LCM(95268,95280) = 9077135040 / 12
LCM(95268,95280) = 756427920

Least Common Multiple (LCM) of 95268 and 95280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95268 and 95280. First we will calculate the prime factors of 95268 and 95280.

Prime Factorization of 95268

Prime Factorization of 95280

Now multiplying the highest exponent prime factors to calculate the LCM of 95268 and 95280.

LCM(95268,95280) = 2⁴ × 3¹ × 17¹ × 467¹ × 5¹ × 397¹
LCM(95268,95280) = 756427920