What is the Least Common Multiple of 85714 and 85733?

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 85714 and 85733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85714 and 85733, than apply into the LCM equation.

GCF(85714,85733) = 1
LCM(85714,85733) = ( 85714 × 85733) / 1
LCM(85714,85733) = 7348518362 / 1
LCM(85714,85733) = 7348518362

Least Common Multiple (LCM) of 85714 and 85733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85714 and 85733. First we will calculate the prime factors of 85714 and 85733.

Prime Factorization of 85714

Prime Factorization of 85733

Now multiplying the highest exponent prime factors to calculate the LCM of 85714 and 85733.

LCM(85714,85733) = 2¹ × 17¹ × 2521¹ × 85733¹
LCM(85714,85733) = 7348518362