What is the Least Common Multiple of 47125 and 47141?

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 47125 and 47141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47125 and 47141, than apply into the LCM equation.

GCF(47125,47141) = 1
LCM(47125,47141) = ( 47125 × 47141) / 1
LCM(47125,47141) = 2221519625 / 1
LCM(47125,47141) = 2221519625

Least Common Multiple (LCM) of 47125 and 47141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47125 and 47141. First we will calculate the prime factors of 47125 and 47141.

Prime Factorization of 47125

Prime Factorization of 47141

Now multiplying the highest exponent prime factors to calculate the LCM of 47125 and 47141.

LCM(47125,47141) = 5³ × 13¹ × 29¹ × 17¹ × 47¹ × 59¹
LCM(47125,47141) = 2221519625