What is the Least Common Multiple of 39144 and 39160?

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 39144 and 39160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39144 and 39160, than apply into the LCM equation.

GCF(39144,39160) = 8
LCM(39144,39160) = ( 39144 × 39160) / 8
LCM(39144,39160) = 1532879040 / 8
LCM(39144,39160) = 191609880

Least Common Multiple (LCM) of 39144 and 39160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39144 and 39160. First we will calculate the prime factors of 39144 and 39160.

Prime Factorization of 39144

Prime Factorization of 39160

Now multiplying the highest exponent prime factors to calculate the LCM of 39144 and 39160.

LCM(39144,39160) = 2³ × 3¹ × 7¹ × 233¹ × 5¹ × 11¹ × 89¹
LCM(39144,39160) = 191609880