What is the Least Common Multiple of 69258 and 69272?

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 69258 and 69272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69258 and 69272, than apply into the LCM equation.

GCF(69258,69272) = 14
LCM(69258,69272) = ( 69258 × 69272) / 14
LCM(69258,69272) = 4797640176 / 14
LCM(69258,69272) = 342688584

Least Common Multiple (LCM) of 69258 and 69272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69258 and 69272. First we will calculate the prime factors of 69258 and 69272.

Prime Factorization of 69258

Prime Factorization of 69272

Now multiplying the highest exponent prime factors to calculate the LCM of 69258 and 69272.

LCM(69258,69272) = 2³ × 3¹ × 7¹ × 17¹ × 97¹ × 1237¹
LCM(69258,69272) = 342688584