What is the Least Common Multiple of 69358 and 69378?

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 69358 and 69378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69358 and 69378, than apply into the LCM equation.

GCF(69358,69378) = 2
LCM(69358,69378) = ( 69358 × 69378) / 2
LCM(69358,69378) = 4811919324 / 2
LCM(69358,69378) = 2405959662

Least Common Multiple (LCM) of 69358 and 69378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69358 and 69378. First we will calculate the prime factors of 69358 and 69378.

Prime Factorization of 69358

Prime Factorization of 69378

Now multiplying the highest exponent prime factors to calculate the LCM of 69358 and 69378.

LCM(69358,69378) = 2¹ × 34679¹ × 3¹ × 31¹ × 373¹
LCM(69358,69378) = 2405959662