What is the Least Common Multiple of 84604 and 84615?

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 84604 and 84615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84604 and 84615, than apply into the LCM equation.

GCF(84604,84615) = 1
LCM(84604,84615) = ( 84604 × 84615) / 1
LCM(84604,84615) = 7158767460 / 1
LCM(84604,84615) = 7158767460

Least Common Multiple (LCM) of 84604 and 84615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84604 and 84615. First we will calculate the prime factors of 84604 and 84615.

Prime Factorization of 84604

Prime Factorization of 84615

Now multiplying the highest exponent prime factors to calculate the LCM of 84604 and 84615.

LCM(84604,84615) = 2² × 13¹ × 1627¹ × 3¹ × 5¹ × 5641¹
LCM(84604,84615) = 7158767460