What is the Least Common Multiple of 18660 and 18672?

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 18660 and 18672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18660 and 18672, than apply into the LCM equation.

GCF(18660,18672) = 12
LCM(18660,18672) = ( 18660 × 18672) / 12
LCM(18660,18672) = 348419520 / 12
LCM(18660,18672) = 29034960

Least Common Multiple (LCM) of 18660 and 18672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18660 and 18672. First we will calculate the prime factors of 18660 and 18672.

Prime Factorization of 18660

Prime Factorization of 18672

Now multiplying the highest exponent prime factors to calculate the LCM of 18660 and 18672.

LCM(18660,18672) = 2⁴ × 3¹ × 5¹ × 311¹ × 389¹
LCM(18660,18672) = 29034960