What is the Least Common Multiple of 73920 and 73940?

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 73920 and 73940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73920 and 73940, than apply into the LCM equation.

GCF(73920,73940) = 20
LCM(73920,73940) = ( 73920 × 73940) / 20
LCM(73920,73940) = 5465644800 / 20
LCM(73920,73940) = 273282240

Least Common Multiple (LCM) of 73920 and 73940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73920 and 73940. First we will calculate the prime factors of 73920 and 73940.

Prime Factorization of 73920

Prime Factorization of 73940

Now multiplying the highest exponent prime factors to calculate the LCM of 73920 and 73940.

LCM(73920,73940) = 2⁶ × 3¹ × 5¹ × 7¹ × 11¹ × 3697¹
LCM(73920,73940) = 273282240