What is the Least Common Multiple of 45461 and 45474?

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 45461 and 45474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45461 and 45474, than apply into the LCM equation.

GCF(45461,45474) = 13
LCM(45461,45474) = ( 45461 × 45474) / 13
LCM(45461,45474) = 2067293514 / 13
LCM(45461,45474) = 159022578

Least Common Multiple (LCM) of 45461 and 45474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45461 and 45474. First we will calculate the prime factors of 45461 and 45474.

Prime Factorization of 45461

Prime Factorization of 45474

Now multiplying the highest exponent prime factors to calculate the LCM of 45461 and 45474.

LCM(45461,45474) = 13² × 269¹ × 2¹ × 3¹ × 11¹ × 53¹
LCM(45461,45474) = 159022578