What is the Least Common Multiple of 73407 and 73425?

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 73407 and 73425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73407 and 73425, than apply into the LCM equation.

GCF(73407,73425) = 3
LCM(73407,73425) = ( 73407 × 73425) / 3
LCM(73407,73425) = 5389908975 / 3
LCM(73407,73425) = 1796636325

Least Common Multiple (LCM) of 73407 and 73425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73407 and 73425. First we will calculate the prime factors of 73407 and 73425.

Prime Factorization of 73407

Prime Factorization of 73425

Now multiplying the highest exponent prime factors to calculate the LCM of 73407 and 73425.

LCM(73407,73425) = 3¹ × 24469¹ × 5² × 11¹ × 89¹
LCM(73407,73425) = 1796636325