What is the Least Common Multiple of 47350 and 47365?

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 47350 and 47365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47350 and 47365, than apply into the LCM equation.

GCF(47350,47365) = 5
LCM(47350,47365) = ( 47350 × 47365) / 5
LCM(47350,47365) = 2242732750 / 5
LCM(47350,47365) = 448546550

Least Common Multiple (LCM) of 47350 and 47365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47350 and 47365. First we will calculate the prime factors of 47350 and 47365.

Prime Factorization of 47350

Prime Factorization of 47365

Now multiplying the highest exponent prime factors to calculate the LCM of 47350 and 47365.

LCM(47350,47365) = 2¹ × 5² × 947¹ × 9473¹
LCM(47350,47365) = 448546550