What is the Least Common Multiple of 75400 and 75408?

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 75400 and 75408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75400 and 75408, than apply into the LCM equation.

GCF(75400,75408) = 8
LCM(75400,75408) = ( 75400 × 75408) / 8
LCM(75400,75408) = 5685763200 / 8
LCM(75400,75408) = 710720400

Least Common Multiple (LCM) of 75400 and 75408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75400 and 75408. First we will calculate the prime factors of 75400 and 75408.

Prime Factorization of 75400

Prime Factorization of 75408

Now multiplying the highest exponent prime factors to calculate the LCM of 75400 and 75408.

LCM(75400,75408) = 2⁴ × 5² × 13¹ × 29¹ × 3¹ × 1571¹
LCM(75400,75408) = 710720400