What is the Least Common Multiple of 23280 and 23295?

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 23280 and 23295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23280 and 23295, than apply into the LCM equation.

GCF(23280,23295) = 15
LCM(23280,23295) = ( 23280 × 23295) / 15
LCM(23280,23295) = 542307600 / 15
LCM(23280,23295) = 36153840

Least Common Multiple (LCM) of 23280 and 23295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23280 and 23295. First we will calculate the prime factors of 23280 and 23295.

Prime Factorization of 23280

Prime Factorization of 23295

Now multiplying the highest exponent prime factors to calculate the LCM of 23280 and 23295.

LCM(23280,23295) = 2⁴ × 3¹ × 5¹ × 97¹ × 1553¹
LCM(23280,23295) = 36153840