What is the Least Common Multiple of 49972 and 49978?

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 49972 and 49978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49972 and 49978, than apply into the LCM equation.

GCF(49972,49978) = 2
LCM(49972,49978) = ( 49972 × 49978) / 2
LCM(49972,49978) = 2497500616 / 2
LCM(49972,49978) = 1248750308

Least Common Multiple (LCM) of 49972 and 49978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49972 and 49978. First we will calculate the prime factors of 49972 and 49978.

Prime Factorization of 49972

Prime Factorization of 49978

Now multiplying the highest exponent prime factors to calculate the LCM of 49972 and 49978.

LCM(49972,49978) = 2² × 13¹ × 31² × 24989¹
LCM(49972,49978) = 1248750308