What is the Least Common Multiple of 80010 and 80030?

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 80010 and 80030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80010 and 80030, than apply into the LCM equation.

GCF(80010,80030) = 10
LCM(80010,80030) = ( 80010 × 80030) / 10
LCM(80010,80030) = 6403200300 / 10
LCM(80010,80030) = 640320030

Least Common Multiple (LCM) of 80010 and 80030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80010 and 80030. First we will calculate the prime factors of 80010 and 80030.

Prime Factorization of 80010

Prime Factorization of 80030

Now multiplying the highest exponent prime factors to calculate the LCM of 80010 and 80030.

LCM(80010,80030) = 2¹ × 3² × 5¹ × 7¹ × 127¹ × 53¹ × 151¹
LCM(80010,80030) = 640320030