What is the Least Common Multiple of 47696 and 47709?

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 47709 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 47709, than apply into the LCM equation.

GCF(47696,47709) = 1
LCM(47696,47709) = ( 47696 × 47709) / 1
LCM(47696,47709) = 2275528464 / 1
LCM(47696,47709) = 2275528464

Least Common Multiple (LCM) of 47696 and 47709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47696 and 47709. First we will calculate the prime factors of 47696 and 47709.

Prime Factorization of 47696

Prime Factorization of 47709

Now multiplying the highest exponent prime factors to calculate the LCM of 47696 and 47709.

LCM(47696,47709) = 2⁴ × 11¹ × 271¹ × 3⁴ × 19¹ × 31¹
LCM(47696,47709) = 2275528464