What is the Least Common Multiple of 93630 and 93636?

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 93630 and 93636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93630 and 93636, than apply into the LCM equation.

GCF(93630,93636) = 6
LCM(93630,93636) = ( 93630 × 93636) / 6
LCM(93630,93636) = 8767138680 / 6
LCM(93630,93636) = 1461189780

Least Common Multiple (LCM) of 93630 and 93636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93630 and 93636. First we will calculate the prime factors of 93630 and 93636.

Prime Factorization of 93630

Prime Factorization of 93636

Now multiplying the highest exponent prime factors to calculate the LCM of 93630 and 93636.

LCM(93630,93636) = 2² × 3⁴ × 5¹ × 3121¹ × 17²
LCM(93630,93636) = 1461189780