What is the Least Common Multiple of 26428 and 26437?

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 26428 and 26437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26428 and 26437, than apply into the LCM equation.

GCF(26428,26437) = 1
LCM(26428,26437) = ( 26428 × 26437) / 1
LCM(26428,26437) = 698677036 / 1
LCM(26428,26437) = 698677036

Least Common Multiple (LCM) of 26428 and 26437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26428 and 26437. First we will calculate the prime factors of 26428 and 26437.

Prime Factorization of 26428

Prime Factorization of 26437

Now multiplying the highest exponent prime factors to calculate the LCM of 26428 and 26437.

LCM(26428,26437) = 2² × 6607¹ × 26437¹
LCM(26428,26437) = 698677036