What is the Least Common Multiple of 44209 and 44216?

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 44209 and 44216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44209 and 44216, than apply into the LCM equation.

GCF(44209,44216) = 1
LCM(44209,44216) = ( 44209 × 44216) / 1
LCM(44209,44216) = 1954745144 / 1
LCM(44209,44216) = 1954745144

Least Common Multiple (LCM) of 44209 and 44216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44209 and 44216. First we will calculate the prime factors of 44209 and 44216.

Prime Factorization of 44209

Prime Factorization of 44216

Now multiplying the highest exponent prime factors to calculate the LCM of 44209 and 44216.

LCM(44209,44216) = 11¹ × 4019¹ × 2³ × 5527¹
LCM(44209,44216) = 1954745144