What is the Least Common Multiple of 44792 and 44806?

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 44792 and 44806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44792 and 44806, than apply into the LCM equation.

GCF(44792,44806) = 2
LCM(44792,44806) = ( 44792 × 44806) / 2
LCM(44792,44806) = 2006950352 / 2
LCM(44792,44806) = 1003475176

Least Common Multiple (LCM) of 44792 and 44806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44792 and 44806. First we will calculate the prime factors of 44792 and 44806.

Prime Factorization of 44792

Prime Factorization of 44806

Now multiplying the highest exponent prime factors to calculate the LCM of 44792 and 44806.

LCM(44792,44806) = 2³ × 11¹ × 509¹ × 43¹ × 521¹
LCM(44792,44806) = 1003475176