What is the Least Common Multiple of 69354 and 69373?

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 69354 and 69373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69354 and 69373, than apply into the LCM equation.

GCF(69354,69373) = 1
LCM(69354,69373) = ( 69354 × 69373) / 1
LCM(69354,69373) = 4811295042 / 1
LCM(69354,69373) = 4811295042

Least Common Multiple (LCM) of 69354 and 69373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69354 and 69373. First we will calculate the prime factors of 69354 and 69373.

Prime Factorization of 69354

Prime Factorization of 69373

Now multiplying the highest exponent prime factors to calculate the LCM of 69354 and 69373.

LCM(69354,69373) = 2¹ × 3² × 3853¹ × 173¹ × 401¹
LCM(69354,69373) = 4811295042