What is the Least Common Multiple of 15464 and 15480?

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 15464 and 15480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15464 and 15480, than apply into the LCM equation.

GCF(15464,15480) = 8
LCM(15464,15480) = ( 15464 × 15480) / 8
LCM(15464,15480) = 239382720 / 8
LCM(15464,15480) = 29922840

Least Common Multiple (LCM) of 15464 and 15480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15464 and 15480. First we will calculate the prime factors of 15464 and 15480.

Prime Factorization of 15464

Prime Factorization of 15480

Now multiplying the highest exponent prime factors to calculate the LCM of 15464 and 15480.

LCM(15464,15480) = 2³ × 1933¹ × 3² × 5¹ × 43¹
LCM(15464,15480) = 29922840