What is the Least Common Multiple of 85648 and 85662?

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 85648 and 85662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85648 and 85662, than apply into the LCM equation.

GCF(85648,85662) = 2
LCM(85648,85662) = ( 85648 × 85662) / 2
LCM(85648,85662) = 7336778976 / 2
LCM(85648,85662) = 3668389488

Least Common Multiple (LCM) of 85648 and 85662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85648 and 85662. First we will calculate the prime factors of 85648 and 85662.

Prime Factorization of 85648

Prime Factorization of 85662

Now multiplying the highest exponent prime factors to calculate the LCM of 85648 and 85662.

LCM(85648,85662) = 2⁴ × 53¹ × 101¹ × 3² × 4759¹
LCM(85648,85662) = 3668389488