What is the Least Common Multiple of 15456 and 15460?

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 15456 and 15460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15456 and 15460, than apply into the LCM equation.

GCF(15456,15460) = 4
LCM(15456,15460) = ( 15456 × 15460) / 4
LCM(15456,15460) = 238949760 / 4
LCM(15456,15460) = 59737440

Least Common Multiple (LCM) of 15456 and 15460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15456 and 15460. First we will calculate the prime factors of 15456 and 15460.

Prime Factorization of 15456

Prime Factorization of 15460

Now multiplying the highest exponent prime factors to calculate the LCM of 15456 and 15460.

LCM(15456,15460) = 2⁵ × 3¹ × 7¹ × 23¹ × 5¹ × 773¹
LCM(15456,15460) = 59737440