What is the Least Common Multiple of 84798 and 84818?

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 84798 and 84818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84798 and 84818, than apply into the LCM equation.

GCF(84798,84818) = 2
LCM(84798,84818) = ( 84798 × 84818) / 2
LCM(84798,84818) = 7192396764 / 2
LCM(84798,84818) = 3596198382

Least Common Multiple (LCM) of 84798 and 84818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84798 and 84818. First we will calculate the prime factors of 84798 and 84818.

Prime Factorization of 84798

Prime Factorization of 84818

Now multiplying the highest exponent prime factors to calculate the LCM of 84798 and 84818.

LCM(84798,84818) = 2¹ × 3² × 7¹ × 673¹ × 42409¹
LCM(84798,84818) = 3596198382