What is the Least Common Multiple of 15972 and 15984?

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 15972 and 15984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15972 and 15984, than apply into the LCM equation.

GCF(15972,15984) = 12
LCM(15972,15984) = ( 15972 × 15984) / 12
LCM(15972,15984) = 255296448 / 12
LCM(15972,15984) = 21274704

Least Common Multiple (LCM) of 15972 and 15984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15972 and 15984. First we will calculate the prime factors of 15972 and 15984.

Prime Factorization of 15972

Prime Factorization of 15984

Now multiplying the highest exponent prime factors to calculate the LCM of 15972 and 15984.

LCM(15972,15984) = 2⁴ × 3³ × 11³ × 37¹
LCM(15972,15984) = 21274704