What is the Least Common Multiple of 73020 and 73037?

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 73020 and 73037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73020 and 73037, than apply into the LCM equation.

GCF(73020,73037) = 1
LCM(73020,73037) = ( 73020 × 73037) / 1
LCM(73020,73037) = 5333161740 / 1
LCM(73020,73037) = 5333161740

Least Common Multiple (LCM) of 73020 and 73037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73020 and 73037. First we will calculate the prime factors of 73020 and 73037.

Prime Factorization of 73020

Prime Factorization of 73037

Now multiplying the highest exponent prime factors to calculate the LCM of 73020 and 73037.

LCM(73020,73037) = 2² × 3¹ × 5¹ × 1217¹ × 73037¹
LCM(73020,73037) = 5333161740