What is the Least Common Multiple of 75664 and 75673?

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 75664 and 75673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75664 and 75673, than apply into the LCM equation.

GCF(75664,75673) = 1
LCM(75664,75673) = ( 75664 × 75673) / 1
LCM(75664,75673) = 5725721872 / 1
LCM(75664,75673) = 5725721872

Least Common Multiple (LCM) of 75664 and 75673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75664 and 75673. First we will calculate the prime factors of 75664 and 75673.

Prime Factorization of 75664

Prime Factorization of 75673

Now multiplying the highest exponent prime factors to calculate the LCM of 75664 and 75673.

LCM(75664,75673) = 2⁴ × 4729¹ × 13¹ × 5821¹
LCM(75664,75673) = 5725721872