What is the Least Common Multiple of 73920 and 73930?

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 73930 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 73930, than apply into the LCM equation.

GCF(73920,73930) = 10
LCM(73920,73930) = ( 73920 × 73930) / 10
LCM(73920,73930) = 5464905600 / 10
LCM(73920,73930) = 546490560

Least Common Multiple (LCM) of 73920 and 73930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73920 and 73930. First we will calculate the prime factors of 73920 and 73930.

Prime Factorization of 73920

Prime Factorization of 73930

Now multiplying the highest exponent prime factors to calculate the LCM of 73920 and 73930.

LCM(73920,73930) = 2⁶ × 3¹ × 5¹ × 7¹ × 11¹ × 7393¹
LCM(73920,73930) = 546490560