What is the Least Common Multiple of 97624 and 97628?

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 97624 and 97628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97624 and 97628, than apply into the LCM equation.

GCF(97624,97628) = 4
LCM(97624,97628) = ( 97624 × 97628) / 4
LCM(97624,97628) = 9530835872 / 4
LCM(97624,97628) = 2382708968

Least Common Multiple (LCM) of 97624 and 97628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97624 and 97628. First we will calculate the prime factors of 97624 and 97628.

Prime Factorization of 97624

Prime Factorization of 97628

Now multiplying the highest exponent prime factors to calculate the LCM of 97624 and 97628.

LCM(97624,97628) = 2³ × 12203¹ × 24407¹
LCM(97624,97628) = 2382708968