What is the Least Common Multiple of 45570 and 45581?

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 45570 and 45581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45570 and 45581, than apply into the LCM equation.

GCF(45570,45581) = 1
LCM(45570,45581) = ( 45570 × 45581) / 1
LCM(45570,45581) = 2077126170 / 1
LCM(45570,45581) = 2077126170

Least Common Multiple (LCM) of 45570 and 45581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45570 and 45581. First we will calculate the prime factors of 45570 and 45581.

Prime Factorization of 45570

Prime Factorization of 45581

Now multiplying the highest exponent prime factors to calculate the LCM of 45570 and 45581.

LCM(45570,45581) = 2¹ × 3¹ × 5¹ × 7² × 31¹ × 19¹ × 2399¹
LCM(45570,45581) = 2077126170