What is the Least Common Multiple of 84559 and 84579?

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 84559 and 84579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84559 and 84579, than apply into the LCM equation.

GCF(84559,84579) = 1
LCM(84559,84579) = ( 84559 × 84579) / 1
LCM(84559,84579) = 7151915661 / 1
LCM(84559,84579) = 7151915661

Least Common Multiple (LCM) of 84559 and 84579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84559 and 84579. First we will calculate the prime factors of 84559 and 84579.

Prime Factorization of 84559

Prime Factorization of 84579

Now multiplying the highest exponent prime factors to calculate the LCM of 84559 and 84579.

LCM(84559,84579) = 84559¹ × 3¹ × 11² × 233¹
LCM(84559,84579) = 7151915661