What is the Least Common Multiple of 47890 and 47895?

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 47890 and 47895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47890 and 47895, than apply into the LCM equation.

GCF(47890,47895) = 5
LCM(47890,47895) = ( 47890 × 47895) / 5
LCM(47890,47895) = 2293691550 / 5
LCM(47890,47895) = 458738310

Least Common Multiple (LCM) of 47890 and 47895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47890 and 47895. First we will calculate the prime factors of 47890 and 47895.

Prime Factorization of 47890

Prime Factorization of 47895

Now multiplying the highest exponent prime factors to calculate the LCM of 47890 and 47895.

LCM(47890,47895) = 2¹ × 5¹ × 4789¹ × 3¹ × 31¹ × 103¹
LCM(47890,47895) = 458738310