What is the Least Common Multiple of 71910 and 71925?

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 71910 and 71925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71910 and 71925, than apply into the LCM equation.

GCF(71910,71925) = 15
LCM(71910,71925) = ( 71910 × 71925) / 15
LCM(71910,71925) = 5172126750 / 15
LCM(71910,71925) = 344808450

Least Common Multiple (LCM) of 71910 and 71925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71910 and 71925. First we will calculate the prime factors of 71910 and 71925.

Prime Factorization of 71910

Prime Factorization of 71925

Now multiplying the highest exponent prime factors to calculate the LCM of 71910 and 71925.

LCM(71910,71925) = 2¹ × 3² × 5² × 17¹ × 47¹ × 7¹ × 137¹
LCM(71910,71925) = 344808450