What is the Least Common Multiple of 23456 and 23463?

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 23456 and 23463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23456 and 23463, than apply into the LCM equation.

GCF(23456,23463) = 1
LCM(23456,23463) = ( 23456 × 23463) / 1
LCM(23456,23463) = 550348128 / 1
LCM(23456,23463) = 550348128

Least Common Multiple (LCM) of 23456 and 23463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23456 and 23463. First we will calculate the prime factors of 23456 and 23463.

Prime Factorization of 23456

Prime Factorization of 23463

Now multiplying the highest exponent prime factors to calculate the LCM of 23456 and 23463.

LCM(23456,23463) = 2⁵ × 733¹ × 3³ × 11¹ × 79¹
LCM(23456,23463) = 550348128