What is the Least Common Multiple of 39872 and 39880?

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 39872 and 39880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39872 and 39880, than apply into the LCM equation.

GCF(39872,39880) = 8
LCM(39872,39880) = ( 39872 × 39880) / 8
LCM(39872,39880) = 1590095360 / 8
LCM(39872,39880) = 198761920

Least Common Multiple (LCM) of 39872 and 39880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39872 and 39880. First we will calculate the prime factors of 39872 and 39880.

Prime Factorization of 39872

Prime Factorization of 39880

Now multiplying the highest exponent prime factors to calculate the LCM of 39872 and 39880.

LCM(39872,39880) = 2⁶ × 7¹ × 89¹ × 5¹ × 997¹
LCM(39872,39880) = 198761920