What is the Least Common Multiple of 71925 and 71936?

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 71925 and 71936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71925 and 71936, than apply into the LCM equation.

GCF(71925,71936) = 1
LCM(71925,71936) = ( 71925 × 71936) / 1
LCM(71925,71936) = 5173996800 / 1
LCM(71925,71936) = 5173996800

Least Common Multiple (LCM) of 71925 and 71936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71925 and 71936. First we will calculate the prime factors of 71925 and 71936.

Prime Factorization of 71925

Prime Factorization of 71936

Now multiplying the highest exponent prime factors to calculate the LCM of 71925 and 71936.

LCM(71925,71936) = 3¹ × 5² × 7¹ × 137¹ × 2⁸ × 281¹
LCM(71925,71936) = 5173996800