What is the Least Common Multiple of 49677 and 49686?

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 49677 and 49686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49677 and 49686, than apply into the LCM equation.

GCF(49677,49686) = 3
LCM(49677,49686) = ( 49677 × 49686) / 3
LCM(49677,49686) = 2468251422 / 3
LCM(49677,49686) = 822750474

Least Common Multiple (LCM) of 49677 and 49686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49677 and 49686. First we will calculate the prime factors of 49677 and 49686.

Prime Factorization of 49677

Prime Factorization of 49686

Now multiplying the highest exponent prime factors to calculate the LCM of 49677 and 49686.

LCM(49677,49686) = 3¹ × 29¹ × 571¹ × 2¹ × 7² × 13²
LCM(49677,49686) = 822750474