What is the Least Common Multiple of 73509 and 73520?

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 73509 and 73520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73509 and 73520, than apply into the LCM equation.

GCF(73509,73520) = 1
LCM(73509,73520) = ( 73509 × 73520) / 1
LCM(73509,73520) = 5404381680 / 1
LCM(73509,73520) = 5404381680

Least Common Multiple (LCM) of 73509 and 73520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73509 and 73520. First we will calculate the prime factors of 73509 and 73520.

Prime Factorization of 73509

Prime Factorization of 73520

Now multiplying the highest exponent prime factors to calculate the LCM of 73509 and 73520.

LCM(73509,73520) = 3¹ × 107¹ × 229¹ × 2⁴ × 5¹ × 919¹
LCM(73509,73520) = 5404381680