What is the Least Common Multiple of 5030 and 5045?

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 5030 and 5045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5030 and 5045, than apply into the LCM equation.

GCF(5030,5045) = 5
LCM(5030,5045) = ( 5030 × 5045) / 5
LCM(5030,5045) = 25376350 / 5
LCM(5030,5045) = 5075270

Least Common Multiple (LCM) of 5030 and 5045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5030 and 5045. First we will calculate the prime factors of 5030 and 5045.

Prime Factorization of 5030

Prime Factorization of 5045

Now multiplying the highest exponent prime factors to calculate the LCM of 5030 and 5045.

LCM(5030,5045) = 2¹ × 5¹ × 503¹ × 1009¹
LCM(5030,5045) = 5075270