What is the Least Common Multiple of 99456 and 99463?

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 99456 and 99463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99456 and 99463, than apply into the LCM equation.

GCF(99456,99463) = 7
LCM(99456,99463) = ( 99456 × 99463) / 7
LCM(99456,99463) = 9892192128 / 7
LCM(99456,99463) = 1413170304

Least Common Multiple (LCM) of 99456 and 99463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99456 and 99463. First we will calculate the prime factors of 99456 and 99463.

Prime Factorization of 99456

Prime Factorization of 99463

Now multiplying the highest exponent prime factors to calculate the LCM of 99456 and 99463.

LCM(99456,99463) = 2⁷ × 3¹ × 7¹ × 37¹ × 13¹ × 1093¹
LCM(99456,99463) = 1413170304