What is the Least Common Multiple of 47730 and 47743?

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 47730 and 47743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47730 and 47743, than apply into the LCM equation.

GCF(47730,47743) = 1
LCM(47730,47743) = ( 47730 × 47743) / 1
LCM(47730,47743) = 2278773390 / 1
LCM(47730,47743) = 2278773390

Least Common Multiple (LCM) of 47730 and 47743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47730 and 47743. First we will calculate the prime factors of 47730 and 47743.

Prime Factorization of 47730

Prime Factorization of 47743

Now multiplying the highest exponent prime factors to calculate the LCM of 47730 and 47743.

LCM(47730,47743) = 2¹ × 3¹ × 5¹ × 37¹ × 43¹ × 47743¹
LCM(47730,47743) = 2278773390