What is the Least Common Multiple of 73709 and 73720?

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 73709 and 73720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73709 and 73720, than apply into the LCM equation.

GCF(73709,73720) = 1
LCM(73709,73720) = ( 73709 × 73720) / 1
LCM(73709,73720) = 5433827480 / 1
LCM(73709,73720) = 5433827480

Least Common Multiple (LCM) of 73709 and 73720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73709 and 73720. First we will calculate the prime factors of 73709 and 73720.

Prime Factorization of 73709

Prime Factorization of 73720

Now multiplying the highest exponent prime factors to calculate the LCM of 73709 and 73720.

LCM(73709,73720) = 73709¹ × 2³ × 5¹ × 19¹ × 97¹
LCM(73709,73720) = 5433827480