What is the Least Common Multiple of 45474 and 45478?

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 45474 and 45478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45474 and 45478, than apply into the LCM equation.

GCF(45474,45478) = 2
LCM(45474,45478) = ( 45474 × 45478) / 2
LCM(45474,45478) = 2068066572 / 2
LCM(45474,45478) = 1034033286

Least Common Multiple (LCM) of 45474 and 45478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45474 and 45478. First we will calculate the prime factors of 45474 and 45478.

Prime Factorization of 45474

Prime Factorization of 45478

Now multiplying the highest exponent prime factors to calculate the LCM of 45474 and 45478.

LCM(45474,45478) = 2¹ × 3¹ × 11¹ × 13¹ × 53¹ × 22739¹
LCM(45474,45478) = 1034033286