What is the Least Common Multiple of 45170 and 45178?

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 45170 and 45178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45170 and 45178, than apply into the LCM equation.

GCF(45170,45178) = 2
LCM(45170,45178) = ( 45170 × 45178) / 2
LCM(45170,45178) = 2040690260 / 2
LCM(45170,45178) = 1020345130

Least Common Multiple (LCM) of 45170 and 45178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45170 and 45178. First we will calculate the prime factors of 45170 and 45178.

Prime Factorization of 45170

Prime Factorization of 45178

Now multiplying the highest exponent prime factors to calculate the LCM of 45170 and 45178.

LCM(45170,45178) = 2¹ × 5¹ × 4517¹ × 7² × 461¹
LCM(45170,45178) = 1020345130