What is the Least Common Multiple of 43906 and 43922?

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 43906 and 43922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43906 and 43922, than apply into the LCM equation.

GCF(43906,43922) = 2
LCM(43906,43922) = ( 43906 × 43922) / 2
LCM(43906,43922) = 1928439332 / 2
LCM(43906,43922) = 964219666

Least Common Multiple (LCM) of 43906 and 43922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43906 and 43922. First we will calculate the prime factors of 43906 and 43922.

Prime Factorization of 43906

Prime Factorization of 43922

Now multiplying the highest exponent prime factors to calculate the LCM of 43906 and 43922.

LCM(43906,43922) = 2¹ × 29¹ × 757¹ × 21961¹
LCM(43906,43922) = 964219666