What is the Least Common Multiple of 5045 and 5055?

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 5045 and 5055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5045 and 5055, than apply into the LCM equation.

GCF(5045,5055) = 5
LCM(5045,5055) = ( 5045 × 5055) / 5
LCM(5045,5055) = 25502475 / 5
LCM(5045,5055) = 5100495

Least Common Multiple (LCM) of 5045 and 5055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5045 and 5055. First we will calculate the prime factors of 5045 and 5055.

Prime Factorization of 5045

Prime Factorization of 5055

Now multiplying the highest exponent prime factors to calculate the LCM of 5045 and 5055.

LCM(5045,5055) = 5¹ × 1009¹ × 3¹ × 337¹
LCM(5045,5055) = 5100495