What is the Least Common Multiple of 97704 and 97710?

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 97704 and 97710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97704 and 97710, than apply into the LCM equation.

GCF(97704,97710) = 6
LCM(97704,97710) = ( 97704 × 97710) / 6
LCM(97704,97710) = 9546657840 / 6
LCM(97704,97710) = 1591109640

Least Common Multiple (LCM) of 97704 and 97710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97704 and 97710. First we will calculate the prime factors of 97704 and 97710.

Prime Factorization of 97704

Prime Factorization of 97710

Now multiplying the highest exponent prime factors to calculate the LCM of 97704 and 97710.

LCM(97704,97710) = 2³ × 3² × 23¹ × 59¹ × 5¹ × 3257¹
LCM(97704,97710) = 1591109640