What is the Least Common Multiple of 48759 and 48779?

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 48759 and 48779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48759 and 48779, than apply into the LCM equation.

GCF(48759,48779) = 1
LCM(48759,48779) = ( 48759 × 48779) / 1
LCM(48759,48779) = 2378415261 / 1
LCM(48759,48779) = 2378415261

Least Common Multiple (LCM) of 48759 and 48779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48759 and 48779. First we will calculate the prime factors of 48759 and 48779.

Prime Factorization of 48759

Prime Factorization of 48779

Now multiplying the highest exponent prime factors to calculate the LCM of 48759 and 48779.

LCM(48759,48779) = 3¹ × 16253¹ × 48779¹
LCM(48759,48779) = 2378415261