What is the Least Common Multiple of 47970 and 47989?

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 47970 and 47989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47970 and 47989, than apply into the LCM equation.

GCF(47970,47989) = 1
LCM(47970,47989) = ( 47970 × 47989) / 1
LCM(47970,47989) = 2302032330 / 1
LCM(47970,47989) = 2302032330

Least Common Multiple (LCM) of 47970 and 47989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47970 and 47989. First we will calculate the prime factors of 47970 and 47989.

Prime Factorization of 47970

Prime Factorization of 47989

Now multiplying the highest exponent prime factors to calculate the LCM of 47970 and 47989.

LCM(47970,47989) = 2¹ × 3² × 5¹ × 13¹ × 41¹ × 37¹ × 1297¹
LCM(47970,47989) = 2302032330