What is the Least Common Multiple of 75320 and 75334?

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 75320 and 75334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75320 and 75334, than apply into the LCM equation.

GCF(75320,75334) = 14
LCM(75320,75334) = ( 75320 × 75334) / 14
LCM(75320,75334) = 5674156880 / 14
LCM(75320,75334) = 405296920

Least Common Multiple (LCM) of 75320 and 75334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75320 and 75334. First we will calculate the prime factors of 75320 and 75334.

Prime Factorization of 75320

Prime Factorization of 75334

Now multiplying the highest exponent prime factors to calculate the LCM of 75320 and 75334.

LCM(75320,75334) = 2³ × 5¹ × 7¹ × 269¹ × 5381¹
LCM(75320,75334) = 405296920