What is the Least Common Multiple of 47722 and 47736?

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 47722 and 47736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47722 and 47736, than apply into the LCM equation.

GCF(47722,47736) = 2
LCM(47722,47736) = ( 47722 × 47736) / 2
LCM(47722,47736) = 2278057392 / 2
LCM(47722,47736) = 1139028696

Least Common Multiple (LCM) of 47722 and 47736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47722 and 47736. First we will calculate the prime factors of 47722 and 47736.

Prime Factorization of 47722

Prime Factorization of 47736

Now multiplying the highest exponent prime factors to calculate the LCM of 47722 and 47736.

LCM(47722,47736) = 2³ × 107¹ × 223¹ × 3³ × 13¹ × 17¹
LCM(47722,47736) = 1139028696