What is the Least Common Multiple of 47878 and 47888?

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 47878 and 47888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47878 and 47888, than apply into the LCM equation.

GCF(47878,47888) = 2
LCM(47878,47888) = ( 47878 × 47888) / 2
LCM(47878,47888) = 2292781664 / 2
LCM(47878,47888) = 1146390832

Least Common Multiple (LCM) of 47878 and 47888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47878 and 47888. First we will calculate the prime factors of 47878 and 47888.

Prime Factorization of 47878

Prime Factorization of 47888

Now multiplying the highest exponent prime factors to calculate the LCM of 47878 and 47888.

LCM(47878,47888) = 2⁴ × 37¹ × 647¹ × 41¹ × 73¹
LCM(47878,47888) = 1146390832