What is the Least Common Multiple of 48961 and 48974?

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 48961 and 48974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48961 and 48974, than apply into the LCM equation.

GCF(48961,48974) = 1
LCM(48961,48974) = ( 48961 × 48974) / 1
LCM(48961,48974) = 2397816014 / 1
LCM(48961,48974) = 2397816014

Least Common Multiple (LCM) of 48961 and 48974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48961 and 48974. First we will calculate the prime factors of 48961 and 48974.

Prime Factorization of 48961

Prime Factorization of 48974

Now multiplying the highest exponent prime factors to calculate the LCM of 48961 and 48974.

LCM(48961,48974) = 11¹ × 4451¹ × 2¹ × 47¹ × 521¹
LCM(48961,48974) = 2397816014