What is the Least Common Multiple of 49872 and 49880?

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 49872 and 49880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49872 and 49880, than apply into the LCM equation.

GCF(49872,49880) = 8
LCM(49872,49880) = ( 49872 × 49880) / 8
LCM(49872,49880) = 2487615360 / 8
LCM(49872,49880) = 310951920

Least Common Multiple (LCM) of 49872 and 49880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49872 and 49880. First we will calculate the prime factors of 49872 and 49880.

Prime Factorization of 49872

Prime Factorization of 49880

Now multiplying the highest exponent prime factors to calculate the LCM of 49872 and 49880.

LCM(49872,49880) = 2⁴ × 3¹ × 1039¹ × 5¹ × 29¹ × 43¹
LCM(49872,49880) = 310951920