What is the Least Common Multiple of 15792 and 15812?

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 15792 and 15812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15792 and 15812, than apply into the LCM equation.

GCF(15792,15812) = 4
LCM(15792,15812) = ( 15792 × 15812) / 4
LCM(15792,15812) = 249703104 / 4
LCM(15792,15812) = 62425776

Least Common Multiple (LCM) of 15792 and 15812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15792 and 15812. First we will calculate the prime factors of 15792 and 15812.

Prime Factorization of 15792

Prime Factorization of 15812

Now multiplying the highest exponent prime factors to calculate the LCM of 15792 and 15812.

LCM(15792,15812) = 2⁴ × 3¹ × 7¹ × 47¹ × 59¹ × 67¹
LCM(15792,15812) = 62425776