What is the Least Common Multiple of 47670 and 47679?

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 47670 and 47679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47670 and 47679, than apply into the LCM equation.

GCF(47670,47679) = 3
LCM(47670,47679) = ( 47670 × 47679) / 3
LCM(47670,47679) = 2272857930 / 3
LCM(47670,47679) = 757619310

Least Common Multiple (LCM) of 47670 and 47679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47670 and 47679. First we will calculate the prime factors of 47670 and 47679.

Prime Factorization of 47670

Prime Factorization of 47679

Now multiplying the highest exponent prime factors to calculate the LCM of 47670 and 47679.

LCM(47670,47679) = 2¹ × 3¹ × 5¹ × 7¹ × 227¹ × 23¹ × 691¹
LCM(47670,47679) = 757619310