What is the Least Common Multiple of 85565 and 85580?

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 85565 and 85580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85565 and 85580, than apply into the LCM equation.

GCF(85565,85580) = 5
LCM(85565,85580) = ( 85565 × 85580) / 5
LCM(85565,85580) = 7322652700 / 5
LCM(85565,85580) = 1464530540

Least Common Multiple (LCM) of 85565 and 85580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85565 and 85580. First we will calculate the prime factors of 85565 and 85580.

Prime Factorization of 85565

Prime Factorization of 85580

Now multiplying the highest exponent prime factors to calculate the LCM of 85565 and 85580.

LCM(85565,85580) = 5¹ × 109¹ × 157¹ × 2² × 11¹ × 389¹
LCM(85565,85580) = 1464530540