What is the Least Common Multiple of 47673 and 47690?

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 47673 and 47690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47673 and 47690, than apply into the LCM equation.

GCF(47673,47690) = 1
LCM(47673,47690) = ( 47673 × 47690) / 1
LCM(47673,47690) = 2273525370 / 1
LCM(47673,47690) = 2273525370

Least Common Multiple (LCM) of 47673 and 47690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47673 and 47690. First we will calculate the prime factors of 47673 and 47690.

Prime Factorization of 47673

Prime Factorization of 47690

Now multiplying the highest exponent prime factors to calculate the LCM of 47673 and 47690.

LCM(47673,47690) = 3² × 5297¹ × 2¹ × 5¹ × 19¹ × 251¹
LCM(47673,47690) = 2273525370