What is the Least Common Multiple of 45278 and 45298?

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 45278 and 45298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45278 and 45298, than apply into the LCM equation.

GCF(45278,45298) = 2
LCM(45278,45298) = ( 45278 × 45298) / 2
LCM(45278,45298) = 2051002844 / 2
LCM(45278,45298) = 1025501422

Least Common Multiple (LCM) of 45278 and 45298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45278 and 45298. First we will calculate the prime factors of 45278 and 45298.

Prime Factorization of 45278

Prime Factorization of 45298

Now multiplying the highest exponent prime factors to calculate the LCM of 45278 and 45298.

LCM(45278,45298) = 2¹ × 22639¹ × 11¹ × 29¹ × 71¹
LCM(45278,45298) = 1025501422