What is the Least Common Multiple of 97660 and 97675?

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 97660 and 97675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97660 and 97675, than apply into the LCM equation.

GCF(97660,97675) = 5
LCM(97660,97675) = ( 97660 × 97675) / 5
LCM(97660,97675) = 9538940500 / 5
LCM(97660,97675) = 1907788100

Least Common Multiple (LCM) of 97660 and 97675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97660 and 97675. First we will calculate the prime factors of 97660 and 97675.

Prime Factorization of 97660

Prime Factorization of 97675

Now multiplying the highest exponent prime factors to calculate the LCM of 97660 and 97675.

LCM(97660,97675) = 2² × 5² × 19¹ × 257¹ × 3907¹
LCM(97660,97675) = 1907788100