What is the Least Common Multiple of 44993 and 45013?

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 44993 and 45013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44993 and 45013, than apply into the LCM equation.

GCF(44993,45013) = 1
LCM(44993,45013) = ( 44993 × 45013) / 1
LCM(44993,45013) = 2025269909 / 1
LCM(44993,45013) = 2025269909

Least Common Multiple (LCM) of 44993 and 45013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44993 and 45013. First we will calculate the prime factors of 44993 and 45013.

Prime Factorization of 44993

Prime Factorization of 45013

Now multiplying the highest exponent prime factors to calculate the LCM of 44993 and 45013.

LCM(44993,45013) = 13¹ × 3461¹ × 45013¹
LCM(44993,45013) = 2025269909