What is the Least Common Multiple of 48617 and 48637?

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 48617 and 48637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48617 and 48637, than apply into the LCM equation.

GCF(48617,48637) = 1
LCM(48617,48637) = ( 48617 × 48637) / 1
LCM(48617,48637) = 2364585029 / 1
LCM(48617,48637) = 2364585029

Least Common Multiple (LCM) of 48617 and 48637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48617 and 48637. First we will calculate the prime factors of 48617 and 48637.

Prime Factorization of 48617

Prime Factorization of 48637

Now multiplying the highest exponent prime factors to calculate the LCM of 48617 and 48637.

LCM(48617,48637) = 61¹ × 797¹ × 17¹ × 2861¹
LCM(48617,48637) = 2364585029