What is the Least Common Multiple of 39912 and 39920?

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 39912 and 39920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39912 and 39920, than apply into the LCM equation.

GCF(39912,39920) = 8
LCM(39912,39920) = ( 39912 × 39920) / 8
LCM(39912,39920) = 1593287040 / 8
LCM(39912,39920) = 199160880

Least Common Multiple (LCM) of 39912 and 39920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39912 and 39920. First we will calculate the prime factors of 39912 and 39920.

Prime Factorization of 39912

Prime Factorization of 39920

Now multiplying the highest exponent prime factors to calculate the LCM of 39912 and 39920.

LCM(39912,39920) = 2⁴ × 3¹ × 1663¹ × 5¹ × 499¹
LCM(39912,39920) = 199160880