What is the Least Common Multiple of 49978 and 49994?

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 49978 and 49994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49978 and 49994, than apply into the LCM equation.

GCF(49978,49994) = 2
LCM(49978,49994) = ( 49978 × 49994) / 2
LCM(49978,49994) = 2498600132 / 2
LCM(49978,49994) = 1249300066

Least Common Multiple (LCM) of 49978 and 49994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49978 and 49994. First we will calculate the prime factors of 49978 and 49994.

Prime Factorization of 49978

Prime Factorization of 49994

Now multiplying the highest exponent prime factors to calculate the LCM of 49978 and 49994.

LCM(49978,49994) = 2¹ × 24989¹ × 7¹ × 3571¹
LCM(49978,49994) = 1249300066