What is the Least Common Multiple of 68514 and 68532?

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 68514 and 68532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68514 and 68532, than apply into the LCM equation.

GCF(68514,68532) = 6
LCM(68514,68532) = ( 68514 × 68532) / 6
LCM(68514,68532) = 4695401448 / 6
LCM(68514,68532) = 782566908

Least Common Multiple (LCM) of 68514 and 68532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68514 and 68532. First we will calculate the prime factors of 68514 and 68532.

Prime Factorization of 68514

Prime Factorization of 68532

Now multiplying the highest exponent prime factors to calculate the LCM of 68514 and 68532.

LCM(68514,68532) = 2² × 3¹ × 19¹ × 601¹ × 5711¹
LCM(68514,68532) = 782566908