What is the Least Common Multiple of 26458 and 26463?

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 26458 and 26463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26458 and 26463, than apply into the LCM equation.

GCF(26458,26463) = 1
LCM(26458,26463) = ( 26458 × 26463) / 1
LCM(26458,26463) = 700158054 / 1
LCM(26458,26463) = 700158054

Least Common Multiple (LCM) of 26458 and 26463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26458 and 26463. First we will calculate the prime factors of 26458 and 26463.

Prime Factorization of 26458

Prime Factorization of 26463

Now multiplying the highest exponent prime factors to calculate the LCM of 26458 and 26463.

LCM(26458,26463) = 2¹ × 13229¹ × 3¹ × 8821¹
LCM(26458,26463) = 700158054