What is the Least Common Multiple of 13146 and 13152?

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 13146 and 13152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13146 and 13152, than apply into the LCM equation.

GCF(13146,13152) = 6
LCM(13146,13152) = ( 13146 × 13152) / 6
LCM(13146,13152) = 172896192 / 6
LCM(13146,13152) = 28816032

Least Common Multiple (LCM) of 13146 and 13152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13146 and 13152. First we will calculate the prime factors of 13146 and 13152.

Prime Factorization of 13146

Prime Factorization of 13152

Now multiplying the highest exponent prime factors to calculate the LCM of 13146 and 13152.

LCM(13146,13152) = 2⁵ × 3¹ × 7¹ × 313¹ × 137¹
LCM(13146,13152) = 28816032