What is the Least Common Multiple of 48737 and 48747?

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 48737 and 48747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48737 and 48747, than apply into the LCM equation.

GCF(48737,48747) = 1
LCM(48737,48747) = ( 48737 × 48747) / 1
LCM(48737,48747) = 2375782539 / 1
LCM(48737,48747) = 2375782539

Least Common Multiple (LCM) of 48737 and 48747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48737 and 48747. First we will calculate the prime factors of 48737 and 48747.

Prime Factorization of 48737

Prime Factorization of 48747

Now multiplying the highest exponent prime factors to calculate the LCM of 48737 and 48747.

LCM(48737,48747) = 13¹ × 23¹ × 163¹ × 3¹ × 16249¹
LCM(48737,48747) = 2375782539