What is the Least Common Multiple of 45672 and 45686?

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 45672 and 45686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45672 and 45686, than apply into the LCM equation.

GCF(45672,45686) = 2
LCM(45672,45686) = ( 45672 × 45686) / 2
LCM(45672,45686) = 2086570992 / 2
LCM(45672,45686) = 1043285496

Least Common Multiple (LCM) of 45672 and 45686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45672 and 45686. First we will calculate the prime factors of 45672 and 45686.

Prime Factorization of 45672

Prime Factorization of 45686

Now multiplying the highest exponent prime factors to calculate the LCM of 45672 and 45686.

LCM(45672,45686) = 2³ × 3¹ × 11¹ × 173¹ × 53¹ × 431¹
LCM(45672,45686) = 1043285496