What is the Least Common Multiple of 68500 and 68514?

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 68500 and 68514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68500 and 68514, than apply into the LCM equation.

GCF(68500,68514) = 2
LCM(68500,68514) = ( 68500 × 68514) / 2
LCM(68500,68514) = 4693209000 / 2
LCM(68500,68514) = 2346604500

Least Common Multiple (LCM) of 68500 and 68514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68500 and 68514. First we will calculate the prime factors of 68500 and 68514.

Prime Factorization of 68500

Prime Factorization of 68514

Now multiplying the highest exponent prime factors to calculate the LCM of 68500 and 68514.

LCM(68500,68514) = 2² × 5³ × 137¹ × 3¹ × 19¹ × 601¹
LCM(68500,68514) = 2346604500