What is the Least Common Multiple of 49689 and 49698?

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 49689 and 49698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49689 and 49698, than apply into the LCM equation.

GCF(49689,49698) = 9
LCM(49689,49698) = ( 49689 × 49698) / 9
LCM(49689,49698) = 2469443922 / 9
LCM(49689,49698) = 274382658

Least Common Multiple (LCM) of 49689 and 49698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49689 and 49698. First we will calculate the prime factors of 49689 and 49698.

Prime Factorization of 49689

Prime Factorization of 49698

Now multiplying the highest exponent prime factors to calculate the LCM of 49689 and 49698.

LCM(49689,49698) = 3² × 5521¹ × 2¹ × 11¹ × 251¹
LCM(49689,49698) = 274382658