What is the Least Common Multiple of 97710 and 97728?

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 97710 and 97728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97710 and 97728, than apply into the LCM equation.

GCF(97710,97728) = 6
LCM(97710,97728) = ( 97710 × 97728) / 6
LCM(97710,97728) = 9549002880 / 6
LCM(97710,97728) = 1591500480

Least Common Multiple (LCM) of 97710 and 97728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97710 and 97728. First we will calculate the prime factors of 97710 and 97728.

Prime Factorization of 97710

Prime Factorization of 97728

Now multiplying the highest exponent prime factors to calculate the LCM of 97710 and 97728.

LCM(97710,97728) = 2⁶ × 3¹ × 5¹ × 3257¹ × 509¹
LCM(97710,97728) = 1591500480