What is the Least Common Multiple of 97452 and 97464?

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 97452 and 97464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97452 and 97464, than apply into the LCM equation.

GCF(97452,97464) = 12
LCM(97452,97464) = ( 97452 × 97464) / 12
LCM(97452,97464) = 9498061728 / 12
LCM(97452,97464) = 791505144

Least Common Multiple (LCM) of 97452 and 97464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97452 and 97464. First we will calculate the prime factors of 97452 and 97464.

Prime Factorization of 97452

Prime Factorization of 97464

Now multiplying the highest exponent prime factors to calculate the LCM of 97452 and 97464.

LCM(97452,97464) = 2³ × 3² × 2707¹ × 31¹ × 131¹
LCM(97452,97464) = 791505144