What is the Least Common Multiple of 97680 and 97695?

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 97680 and 97695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97680 and 97695, than apply into the LCM equation.

GCF(97680,97695) = 15
LCM(97680,97695) = ( 97680 × 97695) / 15
LCM(97680,97695) = 9542847600 / 15
LCM(97680,97695) = 636189840

Least Common Multiple (LCM) of 97680 and 97695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97680 and 97695. First we will calculate the prime factors of 97680 and 97695.

Prime Factorization of 97680

Prime Factorization of 97695

Now multiplying the highest exponent prime factors to calculate the LCM of 97680 and 97695.

LCM(97680,97695) = 2⁴ × 3² × 5¹ × 11¹ × 37¹ × 13¹ × 167¹
LCM(97680,97695) = 636189840