What is the Least Common Multiple of 85456 and 85463?

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 85463 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 85463, than apply into the LCM equation.

GCF(85456,85463) = 7
LCM(85456,85463) = ( 85456 × 85463) / 7
LCM(85456,85463) = 7303326128 / 7
LCM(85456,85463) = 1043332304

Least Common Multiple (LCM) of 85456 and 85463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85456 and 85463. First we will calculate the prime factors of 85456 and 85463.

Prime Factorization of 85456

Prime Factorization of 85463

Now multiplying the highest exponent prime factors to calculate the LCM of 85456 and 85463.

LCM(85456,85463) = 2⁴ × 7² × 109¹ × 29¹ × 421¹
LCM(85456,85463) = 1043332304