What is the Least Common Multiple of 44023 and 44030?

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 44023 and 44030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44023 and 44030, than apply into the LCM equation.

GCF(44023,44030) = 7
LCM(44023,44030) = ( 44023 × 44030) / 7
LCM(44023,44030) = 1938332690 / 7
LCM(44023,44030) = 276904670

Least Common Multiple (LCM) of 44023 and 44030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44023 and 44030. First we will calculate the prime factors of 44023 and 44030.

Prime Factorization of 44023

Prime Factorization of 44030

Now multiplying the highest exponent prime factors to calculate the LCM of 44023 and 44030.

LCM(44023,44030) = 7¹ × 19¹ × 331¹ × 2¹ × 5¹ × 17¹ × 37¹
LCM(44023,44030) = 276904670