What is the Least Common Multiple of 47140 and 47145?

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 47140 and 47145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47140 and 47145, than apply into the LCM equation.

GCF(47140,47145) = 5
LCM(47140,47145) = ( 47140 × 47145) / 5
LCM(47140,47145) = 2222415300 / 5
LCM(47140,47145) = 444483060

Least Common Multiple (LCM) of 47140 and 47145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47140 and 47145. First we will calculate the prime factors of 47140 and 47145.

Prime Factorization of 47140

Prime Factorization of 47145

Now multiplying the highest exponent prime factors to calculate the LCM of 47140 and 47145.

LCM(47140,47145) = 2² × 5¹ × 2357¹ × 3¹ × 7¹ × 449¹
LCM(47140,47145) = 444483060