What is the Least Common Multiple of 80454 and 80463?

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 80454 and 80463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80454 and 80463, than apply into the LCM equation.

GCF(80454,80463) = 3
LCM(80454,80463) = ( 80454 × 80463) / 3
LCM(80454,80463) = 6473570202 / 3
LCM(80454,80463) = 2157856734

Least Common Multiple (LCM) of 80454 and 80463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80454 and 80463. First we will calculate the prime factors of 80454 and 80463.

Prime Factorization of 80454

Prime Factorization of 80463

Now multiplying the highest exponent prime factors to calculate the LCM of 80454 and 80463.

LCM(80454,80463) = 2¹ × 3¹ × 11¹ × 23¹ × 53¹ × 26821¹
LCM(80454,80463) = 2157856734