What is the Least Common Multiple of 84824 and 84842?

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 84824 and 84842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84824 and 84842, than apply into the LCM equation.

GCF(84824,84842) = 2
LCM(84824,84842) = ( 84824 × 84842) / 2
LCM(84824,84842) = 7196637808 / 2
LCM(84824,84842) = 3598318904

Least Common Multiple (LCM) of 84824 and 84842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84824 and 84842. First we will calculate the prime factors of 84824 and 84842.

Prime Factorization of 84824

Prime Factorization of 84842

Now multiplying the highest exponent prime factors to calculate the LCM of 84824 and 84842.

LCM(84824,84842) = 2³ × 23¹ × 461¹ × 59¹ × 719¹
LCM(84824,84842) = 3598318904