What is the Least Common Multiple of 23820 and 23840?

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 23820 and 23840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23820 and 23840, than apply into the LCM equation.

GCF(23820,23840) = 20
LCM(23820,23840) = ( 23820 × 23840) / 20
LCM(23820,23840) = 567868800 / 20
LCM(23820,23840) = 28393440

Least Common Multiple (LCM) of 23820 and 23840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23820 and 23840. First we will calculate the prime factors of 23820 and 23840.

Prime Factorization of 23820

Prime Factorization of 23840

Now multiplying the highest exponent prime factors to calculate the LCM of 23820 and 23840.

LCM(23820,23840) = 2⁵ × 3¹ × 5¹ × 397¹ × 149¹
LCM(23820,23840) = 28393440