What is the Least Common Multiple of 48741 and 48755?

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 48741 and 48755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48741 and 48755, than apply into the LCM equation.

GCF(48741,48755) = 7
LCM(48741,48755) = ( 48741 × 48755) / 7
LCM(48741,48755) = 2376367455 / 7
LCM(48741,48755) = 339481065

Least Common Multiple (LCM) of 48741 and 48755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48741 and 48755. First we will calculate the prime factors of 48741 and 48755.

Prime Factorization of 48741

Prime Factorization of 48755

Now multiplying the highest exponent prime factors to calculate the LCM of 48741 and 48755.

LCM(48741,48755) = 3¹ × 7² × 11¹ × 211¹ × 5¹ × 199¹
LCM(48741,48755) = 339481065