What is the Least Common Multiple of 45443 and 45463?

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 45443 and 45463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45443 and 45463, than apply into the LCM equation.

GCF(45443,45463) = 1
LCM(45443,45463) = ( 45443 × 45463) / 1
LCM(45443,45463) = 2065975109 / 1
LCM(45443,45463) = 2065975109

Least Common Multiple (LCM) of 45443 and 45463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45443 and 45463. First we will calculate the prime factors of 45443 and 45463.

Prime Factorization of 45443

Prime Factorization of 45463

Now multiplying the highest exponent prime factors to calculate the LCM of 45443 and 45463.

LCM(45443,45463) = 29¹ × 1567¹ × 11¹ × 4133¹
LCM(45443,45463) = 2065975109