What is the Least Common Multiple of 73020 and 73038?

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 73038 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 73038, than apply into the LCM equation.

GCF(73020,73038) = 6
LCM(73020,73038) = ( 73020 × 73038) / 6
LCM(73020,73038) = 5333234760 / 6
LCM(73020,73038) = 888872460

Least Common Multiple (LCM) of 73020 and 73038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73020 and 73038. First we will calculate the prime factors of 73020 and 73038.

Prime Factorization of 73020

Prime Factorization of 73038

Now multiplying the highest exponent prime factors to calculate the LCM of 73020 and 73038.

LCM(73020,73038) = 2² × 3¹ × 5¹ × 1217¹ × 7¹ × 37¹ × 47¹
LCM(73020,73038) = 888872460