What is the Least Common Multiple of 26314 and 26320?

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 26314 and 26320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26314 and 26320, than apply into the LCM equation.

GCF(26314,26320) = 2
LCM(26314,26320) = ( 26314 × 26320) / 2
LCM(26314,26320) = 692584480 / 2
LCM(26314,26320) = 346292240

Least Common Multiple (LCM) of 26314 and 26320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26314 and 26320. First we will calculate the prime factors of 26314 and 26320.

Prime Factorization of 26314

Prime Factorization of 26320

Now multiplying the highest exponent prime factors to calculate the LCM of 26314 and 26320.

LCM(26314,26320) = 2⁴ × 59¹ × 223¹ × 5¹ × 7¹ × 47¹
LCM(26314,26320) = 346292240