What is the Least Common Multiple of 85504 and 85522?

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 85504 and 85522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85504 and 85522, than apply into the LCM equation.

GCF(85504,85522) = 2
LCM(85504,85522) = ( 85504 × 85522) / 2
LCM(85504,85522) = 7312473088 / 2
LCM(85504,85522) = 3656236544

Least Common Multiple (LCM) of 85504 and 85522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85504 and 85522. First we will calculate the prime factors of 85504 and 85522.

Prime Factorization of 85504

Prime Factorization of 85522

Now multiplying the highest exponent prime factors to calculate the LCM of 85504 and 85522.

LCM(85504,85522) = 2⁹ × 167¹ × 61¹ × 701¹
LCM(85504,85522) = 3656236544