What is the Least Common Multiple of 47910 and 47922?

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 47910 and 47922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47910 and 47922, than apply into the LCM equation.

GCF(47910,47922) = 6
LCM(47910,47922) = ( 47910 × 47922) / 6
LCM(47910,47922) = 2295943020 / 6
LCM(47910,47922) = 382657170

Least Common Multiple (LCM) of 47910 and 47922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47910 and 47922. First we will calculate the prime factors of 47910 and 47922.

Prime Factorization of 47910

Prime Factorization of 47922

Now multiplying the highest exponent prime factors to calculate the LCM of 47910 and 47922.

LCM(47910,47922) = 2¹ × 3¹ × 5¹ × 1597¹ × 7² × 163¹
LCM(47910,47922) = 382657170