What is the Least Common Multiple of 44038 and 44052?

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 44038 and 44052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44038 and 44052, than apply into the LCM equation.

GCF(44038,44052) = 2
LCM(44038,44052) = ( 44038 × 44052) / 2
LCM(44038,44052) = 1939961976 / 2
LCM(44038,44052) = 969980988

Least Common Multiple (LCM) of 44038 and 44052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44038 and 44052. First we will calculate the prime factors of 44038 and 44052.

Prime Factorization of 44038

Prime Factorization of 44052

Now multiplying the highest exponent prime factors to calculate the LCM of 44038 and 44052.

LCM(44038,44052) = 2² × 97¹ × 227¹ × 3¹ × 3671¹
LCM(44038,44052) = 969980988