What is the Least Common Multiple of 29920 and 29940?

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 29920 and 29940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29920 and 29940, than apply into the LCM equation.

GCF(29920,29940) = 20
LCM(29920,29940) = ( 29920 × 29940) / 20
LCM(29920,29940) = 895804800 / 20
LCM(29920,29940) = 44790240

Least Common Multiple (LCM) of 29920 and 29940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29920 and 29940. First we will calculate the prime factors of 29920 and 29940.

Prime Factorization of 29920

Prime Factorization of 29940

Now multiplying the highest exponent prime factors to calculate the LCM of 29920 and 29940.

LCM(29920,29940) = 2⁵ × 5¹ × 11¹ × 17¹ × 3¹ × 499¹
LCM(29920,29940) = 44790240