What is the Least Common Multiple of 84645 and 84662?

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 84662 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 84662, than apply into the LCM equation.

GCF(84645,84662) = 1
LCM(84645,84662) = ( 84645 × 84662) / 1
LCM(84645,84662) = 7166214990 / 1
LCM(84645,84662) = 7166214990

Least Common Multiple (LCM) of 84645 and 84662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84645 and 84662. First we will calculate the prime factors of 84645 and 84662.

Prime Factorization of 84645

Prime Factorization of 84662

Now multiplying the highest exponent prime factors to calculate the LCM of 84645 and 84662.

LCM(84645,84662) = 3⁴ × 5¹ × 11¹ × 19¹ × 2¹ × 42331¹
LCM(84645,84662) = 7166214990