What is the Least Common Multiple of 75464 and 75472?

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 75464 and 75472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75464 and 75472, than apply into the LCM equation.

GCF(75464,75472) = 8
LCM(75464,75472) = ( 75464 × 75472) / 8
LCM(75464,75472) = 5695419008 / 8
LCM(75464,75472) = 711927376

Least Common Multiple (LCM) of 75464 and 75472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75464 and 75472. First we will calculate the prime factors of 75464 and 75472.

Prime Factorization of 75464

Prime Factorization of 75472

Now multiplying the highest exponent prime factors to calculate the LCM of 75464 and 75472.

LCM(75464,75472) = 2⁴ × 9433¹ × 53¹ × 89¹
LCM(75464,75472) = 711927376