What is the Least Common Multiple of 69369 and 69375?

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 69369 and 69375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69369 and 69375, than apply into the LCM equation.

GCF(69369,69375) = 3
LCM(69369,69375) = ( 69369 × 69375) / 3
LCM(69369,69375) = 4812474375 / 3
LCM(69369,69375) = 1604158125

Least Common Multiple (LCM) of 69369 and 69375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69369 and 69375. First we will calculate the prime factors of 69369 and 69375.

Prime Factorization of 69369

Prime Factorization of 69375

Now multiplying the highest exponent prime factors to calculate the LCM of 69369 and 69375.

LCM(69369,69375) = 3¹ × 19¹ × 1217¹ × 5⁴ × 37¹
LCM(69369,69375) = 1604158125