What is the Least Common Multiple of 71925 and 71944?

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 71944 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 71944, than apply into the LCM equation.

GCF(71925,71944) = 1
LCM(71925,71944) = ( 71925 × 71944) / 1
LCM(71925,71944) = 5174572200 / 1
LCM(71925,71944) = 5174572200

Least Common Multiple (LCM) of 71925 and 71944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71925 and 71944. First we will calculate the prime factors of 71925 and 71944.

Prime Factorization of 71925

Prime Factorization of 71944

Now multiplying the highest exponent prime factors to calculate the LCM of 71925 and 71944.

LCM(71925,71944) = 3¹ × 5² × 7¹ × 137¹ × 2³ × 17¹ × 23²
LCM(71925,71944) = 5174572200