What is the Least Common Multiple of 44030 and 44048?

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 44048 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 44048, than apply into the LCM equation.

GCF(44030,44048) = 2
LCM(44030,44048) = ( 44030 × 44048) / 2
LCM(44030,44048) = 1939433440 / 2
LCM(44030,44048) = 969716720

Least Common Multiple (LCM) of 44030 and 44048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44030 and 44048. First we will calculate the prime factors of 44030 and 44048.

Prime Factorization of 44030

Prime Factorization of 44048

Now multiplying the highest exponent prime factors to calculate the LCM of 44030 and 44048.

LCM(44030,44048) = 2⁴ × 5¹ × 7¹ × 17¹ × 37¹ × 2753¹
LCM(44030,44048) = 969716720