What is the Least Common Multiple of 84809 and 84824?

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 84809 and 84824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84809 and 84824, than apply into the LCM equation.

GCF(84809,84824) = 1
LCM(84809,84824) = ( 84809 × 84824) / 1
LCM(84809,84824) = 7193838616 / 1
LCM(84809,84824) = 7193838616

Least Common Multiple (LCM) of 84809 and 84824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84809 and 84824. First we will calculate the prime factors of 84809 and 84824.

Prime Factorization of 84809

Prime Factorization of 84824

Now multiplying the highest exponent prime factors to calculate the LCM of 84809 and 84824.

LCM(84809,84824) = 84809¹ × 2³ × 23¹ × 461¹
LCM(84809,84824) = 7193838616