What is the Least Common Multiple of 23920 and 23930?

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 23920 and 23930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23920 and 23930, than apply into the LCM equation.

GCF(23920,23930) = 10
LCM(23920,23930) = ( 23920 × 23930) / 10
LCM(23920,23930) = 572405600 / 10
LCM(23920,23930) = 57240560

Least Common Multiple (LCM) of 23920 and 23930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23920 and 23930. First we will calculate the prime factors of 23920 and 23930.

Prime Factorization of 23920

Prime Factorization of 23930

Now multiplying the highest exponent prime factors to calculate the LCM of 23920 and 23930.

LCM(23920,23930) = 2⁴ × 5¹ × 13¹ × 23¹ × 2393¹
LCM(23920,23930) = 57240560