What is the Least Common Multiple of 47972 and 47986?

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 47972 and 47986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47972 and 47986, than apply into the LCM equation.

GCF(47972,47986) = 2
LCM(47972,47986) = ( 47972 × 47986) / 2
LCM(47972,47986) = 2301984392 / 2
LCM(47972,47986) = 1150992196

Least Common Multiple (LCM) of 47972 and 47986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47972 and 47986. First we will calculate the prime factors of 47972 and 47986.

Prime Factorization of 47972

Prime Factorization of 47986

Now multiplying the highest exponent prime factors to calculate the LCM of 47972 and 47986.

LCM(47972,47986) = 2² × 67¹ × 179¹ × 23993¹
LCM(47972,47986) = 1150992196