What is the Least Common Multiple of 93653 and 93672?

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 93653 and 93672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93653 and 93672, than apply into the LCM equation.

GCF(93653,93672) = 1
LCM(93653,93672) = ( 93653 × 93672) / 1
LCM(93653,93672) = 8772663816 / 1
LCM(93653,93672) = 8772663816

Least Common Multiple (LCM) of 93653 and 93672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93653 and 93672. First we will calculate the prime factors of 93653 and 93672.

Prime Factorization of 93653

Prime Factorization of 93672

Now multiplying the highest exponent prime factors to calculate the LCM of 93653 and 93672.

LCM(93653,93672) = 7¹ × 17¹ × 787¹ × 2³ × 3² × 1301¹
LCM(93653,93672) = 8772663816