What is the Least Common Multiple of 4454 and 4463?

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 4454 and 4463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4454 and 4463, than apply into the LCM equation.

GCF(4454,4463) = 1
LCM(4454,4463) = ( 4454 × 4463) / 1
LCM(4454,4463) = 19878202 / 1
LCM(4454,4463) = 19878202

Least Common Multiple (LCM) of 4454 and 4463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4454 and 4463. First we will calculate the prime factors of 4454 and 4463.

Prime Factorization of 4454

Prime Factorization of 4463

Now multiplying the highest exponent prime factors to calculate the LCM of 4454 and 4463.

LCM(4454,4463) = 2¹ × 17¹ × 131¹ × 4463¹
LCM(4454,4463) = 19878202