What is the Least Common Multiple of 26458 and 26478?

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 26478 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 26478, than apply into the LCM equation.

GCF(26458,26478) = 2
LCM(26458,26478) = ( 26458 × 26478) / 2
LCM(26458,26478) = 700554924 / 2
LCM(26458,26478) = 350277462

Least Common Multiple (LCM) of 26458 and 26478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26458 and 26478. First we will calculate the prime factors of 26458 and 26478.

Prime Factorization of 26458

Prime Factorization of 26478

Now multiplying the highest exponent prime factors to calculate the LCM of 26458 and 26478.

LCM(26458,26478) = 2¹ × 13229¹ × 3² × 1471¹
LCM(26458,26478) = 350277462