What is the Least Common Multiple of 85498 and 85514?

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 85498 and 85514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85498 and 85514, than apply into the LCM equation.

GCF(85498,85514) = 2
LCM(85498,85514) = ( 85498 × 85514) / 2
LCM(85498,85514) = 7311275972 / 2
LCM(85498,85514) = 3655637986

Least Common Multiple (LCM) of 85498 and 85514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85498 and 85514. First we will calculate the prime factors of 85498 and 85514.

Prime Factorization of 85498

Prime Factorization of 85514

Now multiplying the highest exponent prime factors to calculate the LCM of 85498 and 85514.

LCM(85498,85514) = 2¹ × 7¹ × 31¹ × 197¹ × 11¹ × 13² × 23¹
LCM(85498,85514) = 3655637986