What is the Least Common Multiple of 45688 and 45706?

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 45688 and 45706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45688 and 45706, than apply into the LCM equation.

GCF(45688,45706) = 2
LCM(45688,45706) = ( 45688 × 45706) / 2
LCM(45688,45706) = 2088215728 / 2
LCM(45688,45706) = 1044107864

Least Common Multiple (LCM) of 45688 and 45706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45688 and 45706. First we will calculate the prime factors of 45688 and 45706.

Prime Factorization of 45688

Prime Factorization of 45706

Now multiplying the highest exponent prime factors to calculate the LCM of 45688 and 45706.

LCM(45688,45706) = 2³ × 5711¹ × 22853¹
LCM(45688,45706) = 1044107864