What is the Least Common Multiple of 23880 and 23895?

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 23880 and 23895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23880 and 23895, than apply into the LCM equation.

GCF(23880,23895) = 15
LCM(23880,23895) = ( 23880 × 23895) / 15
LCM(23880,23895) = 570612600 / 15
LCM(23880,23895) = 38040840

Least Common Multiple (LCM) of 23880 and 23895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23880 and 23895. First we will calculate the prime factors of 23880 and 23895.

Prime Factorization of 23880

Prime Factorization of 23895

Now multiplying the highest exponent prime factors to calculate the LCM of 23880 and 23895.

LCM(23880,23895) = 2³ × 3⁴ × 5¹ × 199¹ × 59¹
LCM(23880,23895) = 38040840