What is the Least Common Multiple of 48707 and 48719?

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 48707 and 48719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48707 and 48719, than apply into the LCM equation.

GCF(48707,48719) = 1
LCM(48707,48719) = ( 48707 × 48719) / 1
LCM(48707,48719) = 2372956333 / 1
LCM(48707,48719) = 2372956333

Least Common Multiple (LCM) of 48707 and 48719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48707 and 48719. First we will calculate the prime factors of 48707 and 48719.

Prime Factorization of 48707

Prime Factorization of 48719

Now multiplying the highest exponent prime factors to calculate the LCM of 48707 and 48719.

LCM(48707,48719) = 53¹ × 919¹ × 11¹ × 43¹ × 103¹
LCM(48707,48719) = 2372956333