What is the Least Common Multiple of 49938 and 49947?

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 49938 and 49947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49938 and 49947, than apply into the LCM equation.

GCF(49938,49947) = 3
LCM(49938,49947) = ( 49938 × 49947) / 3
LCM(49938,49947) = 2494253286 / 3
LCM(49938,49947) = 831417762

Least Common Multiple (LCM) of 49938 and 49947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49938 and 49947. First we will calculate the prime factors of 49938 and 49947.

Prime Factorization of 49938

Prime Factorization of 49947

Now multiplying the highest exponent prime factors to calculate the LCM of 49938 and 49947.

LCM(49938,49947) = 2¹ × 3¹ × 7¹ × 29¹ × 41¹ × 16649¹
LCM(49938,49947) = 831417762