What is the Least Common Multiple of 47922 and 47940?

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 47922 and 47940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47922 and 47940, than apply into the LCM equation.

GCF(47922,47940) = 6
LCM(47922,47940) = ( 47922 × 47940) / 6
LCM(47922,47940) = 2297380680 / 6
LCM(47922,47940) = 382896780

Least Common Multiple (LCM) of 47922 and 47940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47922 and 47940. First we will calculate the prime factors of 47922 and 47940.

Prime Factorization of 47922

Prime Factorization of 47940

Now multiplying the highest exponent prime factors to calculate the LCM of 47922 and 47940.

LCM(47922,47940) = 2² × 3¹ × 7² × 163¹ × 5¹ × 17¹ × 47¹
LCM(47922,47940) = 382896780