What is the Least Common Multiple of 48966 and 48979?

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 48966 and 48979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48966 and 48979, than apply into the LCM equation.

GCF(48966,48979) = 1
LCM(48966,48979) = ( 48966 × 48979) / 1
LCM(48966,48979) = 2398305714 / 1
LCM(48966,48979) = 2398305714

Least Common Multiple (LCM) of 48966 and 48979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48966 and 48979. First we will calculate the prime factors of 48966 and 48979.

Prime Factorization of 48966

Prime Factorization of 48979

Now multiplying the highest exponent prime factors to calculate the LCM of 48966 and 48979.

LCM(48966,48979) = 2¹ × 3¹ × 8161¹ × 7¹ × 6997¹
LCM(48966,48979) = 2398305714