What is the Least Common Multiple of 97728 and 97744?

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 97744 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 97744, than apply into the LCM equation.

GCF(97728,97744) = 16
LCM(97728,97744) = ( 97728 × 97744) / 16
LCM(97728,97744) = 9552325632 / 16
LCM(97728,97744) = 597020352

Least Common Multiple (LCM) of 97728 and 97744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97728 and 97744. First we will calculate the prime factors of 97728 and 97744.

Prime Factorization of 97728

Prime Factorization of 97744

Now multiplying the highest exponent prime factors to calculate the LCM of 97728 and 97744.

LCM(97728,97744) = 2⁶ × 3¹ × 509¹ × 41¹ × 149¹
LCM(97728,97744) = 597020352