What is the Least Common Multiple of 97724 and 97728?

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 97724 and 97728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97724 and 97728, than apply into the LCM equation.

GCF(97724,97728) = 4
LCM(97724,97728) = ( 97724 × 97728) / 4
LCM(97724,97728) = 9550371072 / 4
LCM(97724,97728) = 2387592768

Least Common Multiple (LCM) of 97724 and 97728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97724 and 97728. First we will calculate the prime factors of 97724 and 97728.

Prime Factorization of 97724

Prime Factorization of 97728

Now multiplying the highest exponent prime factors to calculate the LCM of 97724 and 97728.

LCM(97724,97728) = 2⁶ × 11¹ × 2221¹ × 3¹ × 509¹
LCM(97724,97728) = 2387592768