What is the Least Common Multiple of 97528 and 97548?

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 97528 and 97548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97528 and 97548, than apply into the LCM equation.

GCF(97528,97548) = 4
LCM(97528,97548) = ( 97528 × 97548) / 4
LCM(97528,97548) = 9513661344 / 4
LCM(97528,97548) = 2378415336

Least Common Multiple (LCM) of 97528 and 97548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97528 and 97548. First we will calculate the prime factors of 97528 and 97548.

Prime Factorization of 97528

Prime Factorization of 97548

Now multiplying the highest exponent prime factors to calculate the LCM of 97528 and 97548.

LCM(97528,97548) = 2³ × 73¹ × 167¹ × 3¹ × 11¹ × 739¹
LCM(97528,97548) = 2378415336