What is the Least Common Multiple of 45298 and 45303?

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 45298 and 45303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45298 and 45303, than apply into the LCM equation.

GCF(45298,45303) = 1
LCM(45298,45303) = ( 45298 × 45303) / 1
LCM(45298,45303) = 2052135294 / 1
LCM(45298,45303) = 2052135294

Least Common Multiple (LCM) of 45298 and 45303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45298 and 45303. First we will calculate the prime factors of 45298 and 45303.

Prime Factorization of 45298

Prime Factorization of 45303

Now multiplying the highest exponent prime factors to calculate the LCM of 45298 and 45303.

LCM(45298,45303) = 2¹ × 11¹ × 29¹ × 71¹ × 3¹ × 15101¹
LCM(45298,45303) = 2052135294