What is the Least Common Multiple of 50445 and 50463?

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 50445 and 50463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50445 and 50463, than apply into the LCM equation.

GCF(50445,50463) = 9
LCM(50445,50463) = ( 50445 × 50463) / 9
LCM(50445,50463) = 2545606035 / 9
LCM(50445,50463) = 282845115

Least Common Multiple (LCM) of 50445 and 50463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50445 and 50463. First we will calculate the prime factors of 50445 and 50463.

Prime Factorization of 50445

Prime Factorization of 50463

Now multiplying the highest exponent prime factors to calculate the LCM of 50445 and 50463.

LCM(50445,50463) = 3⁴ × 5¹ × 19¹ × 59¹ × 7¹ × 89¹
LCM(50445,50463) = 282845115