What is the Least Common Multiple of 47408 and 47426?

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 47408 and 47426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47408 and 47426, than apply into the LCM equation.

GCF(47408,47426) = 2
LCM(47408,47426) = ( 47408 × 47426) / 2
LCM(47408,47426) = 2248371808 / 2
LCM(47408,47426) = 1124185904

Least Common Multiple (LCM) of 47408 and 47426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47408 and 47426. First we will calculate the prime factors of 47408 and 47426.

Prime Factorization of 47408

Prime Factorization of 47426

Now multiplying the highest exponent prime factors to calculate the LCM of 47408 and 47426.

LCM(47408,47426) = 2⁴ × 2963¹ × 23¹ × 1031¹
LCM(47408,47426) = 1124185904