What is the Least Common Multiple of 73920 and 73938?

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 73938 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 73938, than apply into the LCM equation.

GCF(73920,73938) = 6
LCM(73920,73938) = ( 73920 × 73938) / 6
LCM(73920,73938) = 5465496960 / 6
LCM(73920,73938) = 910916160

Least Common Multiple (LCM) of 73920 and 73938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73920 and 73938. First we will calculate the prime factors of 73920 and 73938.

Prime Factorization of 73920

Prime Factorization of 73938

Now multiplying the highest exponent prime factors to calculate the LCM of 73920 and 73938.

LCM(73920,73938) = 2⁶ × 3¹ × 5¹ × 7¹ × 11¹ × 12323¹
LCM(73920,73938) = 910916160