What is the Least Common Multiple of 84401 and 84416?

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 84401 and 84416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84401 and 84416, than apply into the LCM equation.

GCF(84401,84416) = 1
LCM(84401,84416) = ( 84401 × 84416) / 1
LCM(84401,84416) = 7124794816 / 1
LCM(84401,84416) = 7124794816

Least Common Multiple (LCM) of 84401 and 84416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84401 and 84416. First we will calculate the prime factors of 84401 and 84416.

Prime Factorization of 84401

Prime Factorization of 84416

Now multiplying the highest exponent prime factors to calculate the LCM of 84401 and 84416.

LCM(84401,84416) = 84401¹ × 2⁶ × 1319¹
LCM(84401,84416) = 7124794816