What is the Least Common Multiple of 47120 and 47137?

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 47137 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 47137, than apply into the LCM equation.

GCF(47120,47137) = 1
LCM(47120,47137) = ( 47120 × 47137) / 1
LCM(47120,47137) = 2221095440 / 1
LCM(47120,47137) = 2221095440

Least Common Multiple (LCM) of 47120 and 47137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47120 and 47137. First we will calculate the prime factors of 47120 and 47137.

Prime Factorization of 47120

Prime Factorization of 47137

Now multiplying the highest exponent prime factors to calculate the LCM of 47120 and 47137.

LCM(47120,47137) = 2⁴ × 5¹ × 19¹ × 31¹ × 47137¹
LCM(47120,47137) = 2221095440