What is the Least Common Multiple of 73020 and 73035?

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 73035 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 73035, than apply into the LCM equation.

GCF(73020,73035) = 15
LCM(73020,73035) = ( 73020 × 73035) / 15
LCM(73020,73035) = 5333015700 / 15
LCM(73020,73035) = 355534380

Least Common Multiple (LCM) of 73020 and 73035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73020 and 73035. First we will calculate the prime factors of 73020 and 73035.

Prime Factorization of 73020

Prime Factorization of 73035

Now multiplying the highest exponent prime factors to calculate the LCM of 73020 and 73035.

LCM(73020,73035) = 2² × 3³ × 5¹ × 1217¹ × 541¹
LCM(73020,73035) = 355534380