What is the Least Common Multiple of 93234 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 93234 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 93234 and 93252, than apply into the LCM equation.

GCF(93234,93252) = 6
LCM(93234,93252) = ( 93234 × 93252) / 6
LCM(93234,93252) = 8694256968 / 6
LCM(93234,93252) = 1449042828

Least Common Multiple (LCM) of 93234 and 93252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93234 and 93252. First we will calculate the prime factors of 93234 and 93252.

Prime Factorization of 93234

Prime Factorization of 93252

Now multiplying the highest exponent prime factors to calculate the LCM of 93234 and 93252.

LCM(93234,93252) = 2² × 3¹ × 41¹ × 379¹ × 19¹ × 409¹
LCM(93234,93252) = 1449042828