What is the Least Common Multiple of 93519 and 93536?

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 93519 and 93536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93519 and 93536, than apply into the LCM equation.

GCF(93519,93536) = 1
LCM(93519,93536) = ( 93519 × 93536) / 1
LCM(93519,93536) = 8747393184 / 1
LCM(93519,93536) = 8747393184

Least Common Multiple (LCM) of 93519 and 93536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93519 and 93536. First we will calculate the prime factors of 93519 and 93536.

Prime Factorization of 93519

Prime Factorization of 93536

Now multiplying the highest exponent prime factors to calculate the LCM of 93519 and 93536.

LCM(93519,93536) = 3² × 10391¹ × 2⁵ × 37¹ × 79¹
LCM(93519,93536) = 8747393184