What is the Least Common Multiple of 97804 and 97812?

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 97804 and 97812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97804 and 97812, than apply into the LCM equation.

GCF(97804,97812) = 4
LCM(97804,97812) = ( 97804 × 97812) / 4
LCM(97804,97812) = 9566404848 / 4
LCM(97804,97812) = 2391601212

Least Common Multiple (LCM) of 97804 and 97812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97804 and 97812. First we will calculate the prime factors of 97804 and 97812.

Prime Factorization of 97804

Prime Factorization of 97812

Now multiplying the highest exponent prime factors to calculate the LCM of 97804 and 97812.

LCM(97804,97812) = 2² × 7² × 499¹ × 3² × 11¹ × 13¹ × 19¹
LCM(97804,97812) = 2391601212