What is the Least Common Multiple of 68697 and 68706?

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 68697 and 68706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68697 and 68706, than apply into the LCM equation.

GCF(68697,68706) = 9
LCM(68697,68706) = ( 68697 × 68706) / 9
LCM(68697,68706) = 4719896082 / 9
LCM(68697,68706) = 524432898

Least Common Multiple (LCM) of 68697 and 68706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68697 and 68706. First we will calculate the prime factors of 68697 and 68706.

Prime Factorization of 68697

Prime Factorization of 68706

Now multiplying the highest exponent prime factors to calculate the LCM of 68697 and 68706.

LCM(68697,68706) = 3² × 17¹ × 449¹ × 2¹ × 11¹ × 347¹
LCM(68697,68706) = 524432898