What is the Least Common Multiple of 47874 and 47892?

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 47874 and 47892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47874 and 47892, than apply into the LCM equation.

GCF(47874,47892) = 6
LCM(47874,47892) = ( 47874 × 47892) / 6
LCM(47874,47892) = 2292781608 / 6
LCM(47874,47892) = 382130268

Least Common Multiple (LCM) of 47874 and 47892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47874 and 47892. First we will calculate the prime factors of 47874 and 47892.

Prime Factorization of 47874

Prime Factorization of 47892

Now multiplying the highest exponent prime factors to calculate the LCM of 47874 and 47892.

LCM(47874,47892) = 2² × 3¹ × 79¹ × 101¹ × 13¹ × 307¹
LCM(47874,47892) = 382130268