What is the Least Common Multiple of 26114 and 26128?

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 26114 and 26128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26114 and 26128, than apply into the LCM equation.

GCF(26114,26128) = 2
LCM(26114,26128) = ( 26114 × 26128) / 2
LCM(26114,26128) = 682306592 / 2
LCM(26114,26128) = 341153296

Least Common Multiple (LCM) of 26114 and 26128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26114 and 26128. First we will calculate the prime factors of 26114 and 26128.

Prime Factorization of 26114

Prime Factorization of 26128

Now multiplying the highest exponent prime factors to calculate the LCM of 26114 and 26128.

LCM(26114,26128) = 2⁴ × 11¹ × 1187¹ × 23¹ × 71¹
LCM(26114,26128) = 341153296