What is the Least Common Multiple of 97728 and 97737?

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 97728 and 97737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97728 and 97737, than apply into the LCM equation.

GCF(97728,97737) = 3
LCM(97728,97737) = ( 97728 × 97737) / 3
LCM(97728,97737) = 9551641536 / 3
LCM(97728,97737) = 3183880512

Least Common Multiple (LCM) of 97728 and 97737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97728 and 97737. First we will calculate the prime factors of 97728 and 97737.

Prime Factorization of 97728

Prime Factorization of 97737

Now multiplying the highest exponent prime factors to calculate the LCM of 97728 and 97737.

LCM(97728,97737) = 2⁶ × 3¹ × 509¹ × 32579¹
LCM(97728,97737) = 3183880512