What is the Least Common Multiple of 45003 and 45015?

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 45003 and 45015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45003 and 45015, than apply into the LCM equation.

GCF(45003,45015) = 3
LCM(45003,45015) = ( 45003 × 45015) / 3
LCM(45003,45015) = 2025810045 / 3
LCM(45003,45015) = 675270015

Least Common Multiple (LCM) of 45003 and 45015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45003 and 45015. First we will calculate the prime factors of 45003 and 45015.

Prime Factorization of 45003

Prime Factorization of 45015

Now multiplying the highest exponent prime factors to calculate the LCM of 45003 and 45015.

LCM(45003,45015) = 3¹ × 7¹ × 2143¹ × 5¹ × 3001¹
LCM(45003,45015) = 675270015