What is the Least Common Multiple of 49972 and 49979?

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 49979 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 49979, than apply into the LCM equation.

GCF(49972,49979) = 1
LCM(49972,49979) = ( 49972 × 49979) / 1
LCM(49972,49979) = 2497550588 / 1
LCM(49972,49979) = 2497550588

Least Common Multiple (LCM) of 49972 and 49979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49972 and 49979. First we will calculate the prime factors of 49972 and 49979.

Prime Factorization of 49972

Prime Factorization of 49979

Now multiplying the highest exponent prime factors to calculate the LCM of 49972 and 49979.

LCM(49972,49979) = 2² × 13¹ × 31² × 23¹ × 41¹ × 53¹
LCM(49972,49979) = 2497550588