GCF and LCM Calculator Logo

What is the Least Common Multiple of 93252 and 93258?

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 (LCM) of 93252 and 93258 is 1449415836.

LCM(93252,93258) = 1449415836

LCM Calculator and
and

Least Common Multiple of 93252 and 93258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93252 and 93258, than apply into the LCM equation.

GCF(93252,93258) = 6
LCM(93252,93258) = ( 93252 × 93258) / 6
LCM(93252,93258) = 8696495016 / 6
LCM(93252,93258) = 1449415836

Least Common Multiple (LCM) of 93252 and 93258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93252 and 93258. First we will calculate the prime factors of 93252 and 93258.

Prime Factorization of 93252

Prime factors of 93252 are 2, 3, 19, 409. Prime factorization of 93252 in exponential form is:

93252 = 22 × 31 × 191 × 4091

Prime Factorization of 93258

Prime factors of 93258 are 2, 3, 11, 157. Prime factorization of 93258 in exponential form is:

93258 = 21 × 33 × 111 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 93252 and 93258.

LCM(93252,93258) = 22 × 33 × 191 × 4091 × 111 × 1571
LCM(93252,93258) = 1449415836