What is the Least Common Multiple of 85456 and 85462?

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 85456 and 85462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85456 and 85462, than apply into the LCM equation.

GCF(85456,85462) = 2
LCM(85456,85462) = ( 85456 × 85462) / 2
LCM(85456,85462) = 7303240672 / 2
LCM(85456,85462) = 3651620336

Least Common Multiple (LCM) of 85456 and 85462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85456 and 85462. First we will calculate the prime factors of 85456 and 85462.

Prime Factorization of 85456

Prime Factorization of 85462

Now multiplying the highest exponent prime factors to calculate the LCM of 85456 and 85462.

LCM(85456,85462) = 2⁴ × 7² × 109¹ × 13¹ × 19¹ × 173¹
LCM(85456,85462) = 3651620336