What is the Least Common Multiple of 95292 and 95302?

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 95292 and 95302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95292 and 95302, than apply into the LCM equation.

GCF(95292,95302) = 2
LCM(95292,95302) = ( 95292 × 95302) / 2
LCM(95292,95302) = 9081518184 / 2
LCM(95292,95302) = 4540759092

Least Common Multiple (LCM) of 95292 and 95302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95292 and 95302. First we will calculate the prime factors of 95292 and 95302.

Prime Factorization of 95292

Prime Factorization of 95302

Now multiplying the highest exponent prime factors to calculate the LCM of 95292 and 95302.

LCM(95292,95302) = 2² × 3² × 2647¹ × 17¹ × 2803¹
LCM(95292,95302) = 4540759092