What is the Least Common Multiple of 93240 and 93252?

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 93240 and 93252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93240 and 93252, than apply into the LCM equation.

GCF(93240,93252) = 12
LCM(93240,93252) = ( 93240 × 93252) / 12
LCM(93240,93252) = 8694816480 / 12
LCM(93240,93252) = 724568040

Least Common Multiple (LCM) of 93240 and 93252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93240 and 93252. First we will calculate the prime factors of 93240 and 93252.

Prime Factorization of 93240

Prime Factorization of 93252

Now multiplying the highest exponent prime factors to calculate the LCM of 93240 and 93252.

LCM(93240,93252) = 2³ × 3² × 5¹ × 7¹ × 37¹ × 19¹ × 409¹
LCM(93240,93252) = 724568040