What is the Least Common Multiple of 95354 and 95368?

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 95354 and 95368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95354 and 95368, than apply into the LCM equation.

GCF(95354,95368) = 14
LCM(95354,95368) = ( 95354 × 95368) / 14
LCM(95354,95368) = 9093720272 / 14
LCM(95354,95368) = 649551448

Least Common Multiple (LCM) of 95354 and 95368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95354 and 95368. First we will calculate the prime factors of 95354 and 95368.

Prime Factorization of 95354

Prime Factorization of 95368

Now multiplying the highest exponent prime factors to calculate the LCM of 95354 and 95368.

LCM(95354,95368) = 2³ × 7³ × 139¹ × 13¹ × 131¹
LCM(95354,95368) = 649551448