What is the Least Common Multiple of 45644 and 45653?

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 45644 and 45653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45644 and 45653, than apply into the LCM equation.

GCF(45644,45653) = 1
LCM(45644,45653) = ( 45644 × 45653) / 1
LCM(45644,45653) = 2083785532 / 1
LCM(45644,45653) = 2083785532

Least Common Multiple (LCM) of 45644 and 45653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45644 and 45653. First we will calculate the prime factors of 45644 and 45653.

Prime Factorization of 45644

Prime Factorization of 45653

Now multiplying the highest exponent prime factors to calculate the LCM of 45644 and 45653.

LCM(45644,45653) = 2² × 11411¹ × 71¹ × 643¹
LCM(45644,45653) = 2083785532