What is the Least Common Multiple of 79441 and 79454?

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 79441 and 79454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79441 and 79454, than apply into the LCM equation.

GCF(79441,79454) = 1
LCM(79441,79454) = ( 79441 × 79454) / 1
LCM(79441,79454) = 6311905214 / 1
LCM(79441,79454) = 6311905214

Least Common Multiple (LCM) of 79441 and 79454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79441 and 79454. First we will calculate the prime factors of 79441 and 79454.

Prime Factorization of 79441

Prime Factorization of 79454

Now multiplying the highest exponent prime factors to calculate the LCM of 79441 and 79454.

LCM(79441,79454) = 17¹ × 4673¹ × 2¹ × 39727¹
LCM(79441,79454) = 6311905214