What is the Least Common Multiple of 26064 and 26079?

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 26064 and 26079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26064 and 26079, than apply into the LCM equation.

GCF(26064,26079) = 3
LCM(26064,26079) = ( 26064 × 26079) / 3
LCM(26064,26079) = 679723056 / 3
LCM(26064,26079) = 226574352

Least Common Multiple (LCM) of 26064 and 26079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26064 and 26079. First we will calculate the prime factors of 26064 and 26079.

Prime Factorization of 26064

Prime Factorization of 26079

Now multiplying the highest exponent prime factors to calculate the LCM of 26064 and 26079.

LCM(26064,26079) = 2⁴ × 3² × 181¹ × 8693¹
LCM(26064,26079) = 226574352