What is the Least Common Multiple of 39146 and 39152?

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 39146 and 39152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39146 and 39152, than apply into the LCM equation.

GCF(39146,39152) = 2
LCM(39146,39152) = ( 39146 × 39152) / 2
LCM(39146,39152) = 1532644192 / 2
LCM(39146,39152) = 766322096

Least Common Multiple (LCM) of 39146 and 39152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39146 and 39152. First we will calculate the prime factors of 39146 and 39152.

Prime Factorization of 39146

Prime Factorization of 39152

Now multiplying the highest exponent prime factors to calculate the LCM of 39146 and 39152.

LCM(39146,39152) = 2⁴ × 23² × 37¹ × 2447¹
LCM(39146,39152) = 766322096