What is the Least Common Multiple of 26414 and 26432?

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 26414 and 26432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26414 and 26432, than apply into the LCM equation.

GCF(26414,26432) = 2
LCM(26414,26432) = ( 26414 × 26432) / 2
LCM(26414,26432) = 698174848 / 2
LCM(26414,26432) = 349087424

Least Common Multiple (LCM) of 26414 and 26432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26414 and 26432. First we will calculate the prime factors of 26414 and 26432.

Prime Factorization of 26414

Prime Factorization of 26432

Now multiplying the highest exponent prime factors to calculate the LCM of 26414 and 26432.

LCM(26414,26432) = 2⁶ × 47¹ × 281¹ × 7¹ × 59¹
LCM(26414,26432) = 349087424