What is the Least Common Multiple of 47525 and 47539?

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 47525 and 47539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47525 and 47539, than apply into the LCM equation.

GCF(47525,47539) = 1
LCM(47525,47539) = ( 47525 × 47539) / 1
LCM(47525,47539) = 2259290975 / 1
LCM(47525,47539) = 2259290975

Least Common Multiple (LCM) of 47525 and 47539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47525 and 47539. First we will calculate the prime factors of 47525 and 47539.

Prime Factorization of 47525

Prime Factorization of 47539

Now multiplying the highest exponent prime factors to calculate the LCM of 47525 and 47539.

LCM(47525,47539) = 5² × 1901¹ × 137¹ × 347¹
LCM(47525,47539) = 2259290975