What is the Least Common Multiple of 44030 and 44046?

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 44030 and 44046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44030 and 44046, than apply into the LCM equation.

GCF(44030,44046) = 2
LCM(44030,44046) = ( 44030 × 44046) / 2
LCM(44030,44046) = 1939345380 / 2
LCM(44030,44046) = 969672690

Least Common Multiple (LCM) of 44030 and 44046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44030 and 44046. First we will calculate the prime factors of 44030 and 44046.

Prime Factorization of 44030

Prime Factorization of 44046

Now multiplying the highest exponent prime factors to calculate the LCM of 44030 and 44046.

LCM(44030,44046) = 2¹ × 5¹ × 7¹ × 17¹ × 37¹ × 3² × 2447¹
LCM(44030,44046) = 969672690