What is the Least Common Multiple of 47725 and 47739?

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 47725 and 47739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47725 and 47739, than apply into the LCM equation.

GCF(47725,47739) = 1
LCM(47725,47739) = ( 47725 × 47739) / 1
LCM(47725,47739) = 2278343775 / 1
LCM(47725,47739) = 2278343775

Least Common Multiple (LCM) of 47725 and 47739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47725 and 47739. First we will calculate the prime factors of 47725 and 47739.

Prime Factorization of 47725

Prime Factorization of 47739

Now multiplying the highest exponent prime factors to calculate the LCM of 47725 and 47739.

LCM(47725,47739) = 5² × 23¹ × 83¹ × 3¹ × 15913¹
LCM(47725,47739) = 2278343775