What is the Least Common Multiple of 47120 and 47139?

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 47120 and 47139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47120 and 47139, than apply into the LCM equation.

GCF(47120,47139) = 19
LCM(47120,47139) = ( 47120 × 47139) / 19
LCM(47120,47139) = 2221189680 / 19
LCM(47120,47139) = 116904720

Least Common Multiple (LCM) of 47120 and 47139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47120 and 47139. First we will calculate the prime factors of 47120 and 47139.

Prime Factorization of 47120

Prime Factorization of 47139

Now multiplying the highest exponent prime factors to calculate the LCM of 47120 and 47139.

LCM(47120,47139) = 2⁴ × 5¹ × 19¹ × 31¹ × 3¹ × 827¹
LCM(47120,47139) = 116904720