What is the Least Common Multiple of 47702 and 47720?

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 47702 and 47720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47702 and 47720, than apply into the LCM equation.

GCF(47702,47720) = 2
LCM(47702,47720) = ( 47702 × 47720) / 2
LCM(47702,47720) = 2276339440 / 2
LCM(47702,47720) = 1138169720

Least Common Multiple (LCM) of 47702 and 47720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47702 and 47720. First we will calculate the prime factors of 47702 and 47720.

Prime Factorization of 47702

Prime Factorization of 47720

Now multiplying the highest exponent prime factors to calculate the LCM of 47702 and 47720.

LCM(47702,47720) = 2³ × 17¹ × 23¹ × 61¹ × 5¹ × 1193¹
LCM(47702,47720) = 1138169720