What is the Least Common Multiple of 84677 and 84693?

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 84677 and 84693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84677 and 84693, than apply into the LCM equation.

GCF(84677,84693) = 1
LCM(84677,84693) = ( 84677 × 84693) / 1
LCM(84677,84693) = 7171549161 / 1
LCM(84677,84693) = 7171549161

Least Common Multiple (LCM) of 84677 and 84693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84677 and 84693. First we will calculate the prime factors of 84677 and 84693.

Prime Factorization of 84677

Prime Factorization of 84693

Now multiplying the highest exponent prime factors to calculate the LCM of 84677 and 84693.

LCM(84677,84693) = 17² × 293¹ × 3¹ × 7¹ × 37¹ × 109¹
LCM(84677,84693) = 7171549161