What is the Least Common Multiple of 47290 and 47295?

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 47290 and 47295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47290 and 47295, than apply into the LCM equation.

GCF(47290,47295) = 5
LCM(47290,47295) = ( 47290 × 47295) / 5
LCM(47290,47295) = 2236580550 / 5
LCM(47290,47295) = 447316110

Least Common Multiple (LCM) of 47290 and 47295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47290 and 47295. First we will calculate the prime factors of 47290 and 47295.

Prime Factorization of 47290

Prime Factorization of 47295

Now multiplying the highest exponent prime factors to calculate the LCM of 47290 and 47295.

LCM(47290,47295) = 2¹ × 5¹ × 4729¹ × 3² × 1051¹
LCM(47290,47295) = 447316110