What is the Least Common Multiple of 84987 and 84996?

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 84987 and 84996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84987 and 84996, than apply into the LCM equation.

GCF(84987,84996) = 9
LCM(84987,84996) = ( 84987 × 84996) / 9
LCM(84987,84996) = 7223555052 / 9
LCM(84987,84996) = 802617228

Least Common Multiple (LCM) of 84987 and 84996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84987 and 84996. First we will calculate the prime factors of 84987 and 84996.

Prime Factorization of 84987

Prime Factorization of 84996

Now multiplying the highest exponent prime factors to calculate the LCM of 84987 and 84996.

LCM(84987,84996) = 3³ × 7¹ × 19¹ × 71¹ × 2² × 787¹
LCM(84987,84996) = 802617228