What is the Least Common Multiple of 45945 and 45954?

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 45945 and 45954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45945 and 45954, than apply into the LCM equation.

GCF(45945,45954) = 9
LCM(45945,45954) = ( 45945 × 45954) / 9
LCM(45945,45954) = 2111356530 / 9
LCM(45945,45954) = 234595170

Least Common Multiple (LCM) of 45945 and 45954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45945 and 45954. First we will calculate the prime factors of 45945 and 45954.

Prime Factorization of 45945

Prime Factorization of 45954

Now multiplying the highest exponent prime factors to calculate the LCM of 45945 and 45954.

LCM(45945,45954) = 3³ × 5¹ × 1021¹ × 2¹ × 23¹ × 37¹
LCM(45945,45954) = 234595170