What is the Least Common Multiple of 73920 and 73926?

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 73926 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 73926, than apply into the LCM equation.

GCF(73920,73926) = 6
LCM(73920,73926) = ( 73920 × 73926) / 6
LCM(73920,73926) = 5464609920 / 6
LCM(73920,73926) = 910768320

Least Common Multiple (LCM) of 73920 and 73926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73920 and 73926. First we will calculate the prime factors of 73920 and 73926.

Prime Factorization of 73920

Prime Factorization of 73926

Now multiplying the highest exponent prime factors to calculate the LCM of 73920 and 73926.

LCM(73920,73926) = 2⁶ × 3³ × 5¹ × 7¹ × 11¹ × 37²
LCM(73920,73926) = 910768320