What is the Least Common Multiple of 84565 and 84580?

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 84565 and 84580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84565 and 84580, than apply into the LCM equation.

GCF(84565,84580) = 5
LCM(84565,84580) = ( 84565 × 84580) / 5
LCM(84565,84580) = 7152507700 / 5
LCM(84565,84580) = 1430501540

Least Common Multiple (LCM) of 84565 and 84580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84565 and 84580. First we will calculate the prime factors of 84565 and 84580.

Prime Factorization of 84565

Prime Factorization of 84580

Now multiplying the highest exponent prime factors to calculate the LCM of 84565 and 84580.

LCM(84565,84580) = 5¹ × 13¹ × 1301¹ × 2² × 4229¹
LCM(84565,84580) = 1430501540