What is the Least Common Multiple of 53456 and 53463?

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 53456 and 53463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53456 and 53463, than apply into the LCM equation.

GCF(53456,53463) = 1
LCM(53456,53463) = ( 53456 × 53463) / 1
LCM(53456,53463) = 2857918128 / 1
LCM(53456,53463) = 2857918128

Least Common Multiple (LCM) of 53456 and 53463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53456 and 53463. First we will calculate the prime factors of 53456 and 53463.

Prime Factorization of 53456

Prime Factorization of 53463

Now multiplying the highest exponent prime factors to calculate the LCM of 53456 and 53463.

LCM(53456,53463) = 2⁴ × 13¹ × 257¹ × 3¹ × 71¹ × 251¹
LCM(53456,53463) = 2857918128