What is the Least Common Multiple of 49984 and 49996?

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 49984 and 49996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49984 and 49996, than apply into the LCM equation.

GCF(49984,49996) = 4
LCM(49984,49996) = ( 49984 × 49996) / 4
LCM(49984,49996) = 2499000064 / 4
LCM(49984,49996) = 624750016

Least Common Multiple (LCM) of 49984 and 49996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49984 and 49996. First we will calculate the prime factors of 49984 and 49996.

Prime Factorization of 49984

Prime Factorization of 49996

Now multiplying the highest exponent prime factors to calculate the LCM of 49984 and 49996.

LCM(49984,49996) = 2⁶ × 11¹ × 71¹ × 29¹ × 431¹
LCM(49984,49996) = 624750016