What is the Least Common Multiple of 15460 and 15464?

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 15460 and 15464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15460 and 15464, than apply into the LCM equation.

GCF(15460,15464) = 4
LCM(15460,15464) = ( 15460 × 15464) / 4
LCM(15460,15464) = 239073440 / 4
LCM(15460,15464) = 59768360

Least Common Multiple (LCM) of 15460 and 15464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15460 and 15464. First we will calculate the prime factors of 15460 and 15464.

Prime Factorization of 15460

Prime Factorization of 15464

Now multiplying the highest exponent prime factors to calculate the LCM of 15460 and 15464.

LCM(15460,15464) = 2³ × 5¹ × 773¹ × 1933¹
LCM(15460,15464) = 59768360