What is the Least Common Multiple of 85544 and 85562?

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 85544 and 85562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85544 and 85562, than apply into the LCM equation.

GCF(85544,85562) = 2
LCM(85544,85562) = ( 85544 × 85562) / 2
LCM(85544,85562) = 7319315728 / 2
LCM(85544,85562) = 3659657864

Least Common Multiple (LCM) of 85544 and 85562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85544 and 85562. First we will calculate the prime factors of 85544 and 85562.

Prime Factorization of 85544

Prime Factorization of 85562

Now multiplying the highest exponent prime factors to calculate the LCM of 85544 and 85562.

LCM(85544,85562) = 2³ × 17² × 37¹ × 179¹ × 239¹
LCM(85544,85562) = 3659657864