What is the Least Common Multiple of 5010 and 5030?

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 5010 and 5030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5010 and 5030, than apply into the LCM equation.

GCF(5010,5030) = 10
LCM(5010,5030) = ( 5010 × 5030) / 10
LCM(5010,5030) = 25200300 / 10
LCM(5010,5030) = 2520030

Least Common Multiple (LCM) of 5010 and 5030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5010 and 5030. First we will calculate the prime factors of 5010 and 5030.

Prime Factorization of 5010

Prime Factorization of 5030

Now multiplying the highest exponent prime factors to calculate the LCM of 5010 and 5030.

LCM(5010,5030) = 2¹ × 3¹ × 5¹ × 167¹ × 503¹
LCM(5010,5030) = 2520030