What is the Least Common Multiple of 48738 and 48743?

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 48738 and 48743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48738 and 48743, than apply into the LCM equation.

GCF(48738,48743) = 1
LCM(48738,48743) = ( 48738 × 48743) / 1
LCM(48738,48743) = 2375636334 / 1
LCM(48738,48743) = 2375636334

Least Common Multiple (LCM) of 48738 and 48743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48738 and 48743. First we will calculate the prime factors of 48738 and 48743.

Prime Factorization of 48738

Prime Factorization of 48743

Now multiplying the highest exponent prime factors to calculate the LCM of 48738 and 48743.

LCM(48738,48743) = 2¹ × 3¹ × 8123¹ × 79¹ × 617¹
LCM(48738,48743) = 2375636334