What is the Least Common Multiple of 97520 and 97536?

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 97520 and 97536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97520 and 97536, than apply into the LCM equation.

GCF(97520,97536) = 16
LCM(97520,97536) = ( 97520 × 97536) / 16
LCM(97520,97536) = 9511710720 / 16
LCM(97520,97536) = 594481920

Least Common Multiple (LCM) of 97520 and 97536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97520 and 97536. First we will calculate the prime factors of 97520 and 97536.

Prime Factorization of 97520

Prime Factorization of 97536

Now multiplying the highest exponent prime factors to calculate the LCM of 97520 and 97536.

LCM(97520,97536) = 2⁸ × 5¹ × 23¹ × 53¹ × 3¹ × 127¹
LCM(97520,97536) = 594481920