What is the Least Common Multiple of 47696 and 47701?

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 47696 and 47701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47696 and 47701, than apply into the LCM equation.

GCF(47696,47701) = 1
LCM(47696,47701) = ( 47696 × 47701) / 1
LCM(47696,47701) = 2275146896 / 1
LCM(47696,47701) = 2275146896

Least Common Multiple (LCM) of 47696 and 47701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47696 and 47701. First we will calculate the prime factors of 47696 and 47701.

Prime Factorization of 47696

Prime Factorization of 47701

Now multiplying the highest exponent prime factors to calculate the LCM of 47696 and 47701.

LCM(47696,47701) = 2⁴ × 11¹ × 271¹ × 47701¹
LCM(47696,47701) = 2275146896