What is the Least Common Multiple of 47696 and 47706?

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 47706 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 47706, than apply into the LCM equation.

GCF(47696,47706) = 2
LCM(47696,47706) = ( 47696 × 47706) / 2
LCM(47696,47706) = 2275385376 / 2
LCM(47696,47706) = 1137692688

Least Common Multiple (LCM) of 47696 and 47706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47696 and 47706. First we will calculate the prime factors of 47696 and 47706.

Prime Factorization of 47696

Prime Factorization of 47706

Now multiplying the highest exponent prime factors to calculate the LCM of 47696 and 47706.

LCM(47696,47706) = 2⁴ × 11¹ × 271¹ × 3¹ × 7951¹
LCM(47696,47706) = 1137692688