What is the Least Common Multiple of 47970 and 47985?

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 47985 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 47985, than apply into the LCM equation.

GCF(47970,47985) = 15
LCM(47970,47985) = ( 47970 × 47985) / 15
LCM(47970,47985) = 2301840450 / 15
LCM(47970,47985) = 153456030

Least Common Multiple (LCM) of 47970 and 47985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47970 and 47985. First we will calculate the prime factors of 47970 and 47985.

Prime Factorization of 47970

Prime Factorization of 47985

Now multiplying the highest exponent prime factors to calculate the LCM of 47970 and 47985.

LCM(47970,47985) = 2¹ × 3² × 5¹ × 13¹ × 41¹ × 7¹ × 457¹
LCM(47970,47985) = 153456030