What is the Least Common Multiple of 84645 and 84661?

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 84645 and 84661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84645 and 84661, than apply into the LCM equation.

GCF(84645,84661) = 1
LCM(84645,84661) = ( 84645 × 84661) / 1
LCM(84645,84661) = 7166130345 / 1
LCM(84645,84661) = 7166130345

Least Common Multiple (LCM) of 84645 and 84661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84645 and 84661. First we will calculate the prime factors of 84645 and 84661.

Prime Factorization of 84645

Prime Factorization of 84661

Now multiplying the highest exponent prime factors to calculate the LCM of 84645 and 84661.

LCM(84645,84661) = 3⁴ × 5¹ × 11¹ × 19¹ × 31¹ × 2731¹
LCM(84645,84661) = 7166130345