What is the Least Common Multiple of 39360 and 39372?

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 39360 and 39372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39360 and 39372, than apply into the LCM equation.

GCF(39360,39372) = 12
LCM(39360,39372) = ( 39360 × 39372) / 12
LCM(39360,39372) = 1549681920 / 12
LCM(39360,39372) = 129140160

Least Common Multiple (LCM) of 39360 and 39372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39360 and 39372. First we will calculate the prime factors of 39360 and 39372.

Prime Factorization of 39360

Prime Factorization of 39372

Now multiplying the highest exponent prime factors to calculate the LCM of 39360 and 39372.

LCM(39360,39372) = 2⁶ × 3¹ × 5¹ × 41¹ × 17¹ × 193¹
LCM(39360,39372) = 129140160