What is the Least Common Multiple of 97670 and 97676?

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 97670 and 97676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97670 and 97676, than apply into the LCM equation.

GCF(97670,97676) = 2
LCM(97670,97676) = ( 97670 × 97676) / 2
LCM(97670,97676) = 9540014920 / 2
LCM(97670,97676) = 4770007460

Least Common Multiple (LCM) of 97670 and 97676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97670 and 97676. First we will calculate the prime factors of 97670 and 97676.

Prime Factorization of 97670

Prime Factorization of 97676

Now multiplying the highest exponent prime factors to calculate the LCM of 97670 and 97676.

LCM(97670,97676) = 2² × 5¹ × 9767¹ × 24419¹
LCM(97670,97676) = 4770007460