What is the Least Common Multiple of 45031 and 45038?

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 45031 and 45038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45031 and 45038, than apply into the LCM equation.

GCF(45031,45038) = 7
LCM(45031,45038) = ( 45031 × 45038) / 7
LCM(45031,45038) = 2028106178 / 7
LCM(45031,45038) = 289729454

Least Common Multiple (LCM) of 45031 and 45038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45031 and 45038. First we will calculate the prime factors of 45031 and 45038.

Prime Factorization of 45031

Prime Factorization of 45038

Now multiplying the highest exponent prime factors to calculate the LCM of 45031 and 45038.

LCM(45031,45038) = 7² × 919¹ × 2¹ × 3217¹
LCM(45031,45038) = 289729454