What is the Least Common Multiple of 49896 and 49911?

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 49896 and 49911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49896 and 49911, than apply into the LCM equation.

GCF(49896,49911) = 3
LCM(49896,49911) = ( 49896 × 49911) / 3
LCM(49896,49911) = 2490359256 / 3
LCM(49896,49911) = 830119752

Least Common Multiple (LCM) of 49896 and 49911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49896 and 49911. First we will calculate the prime factors of 49896 and 49911.

Prime Factorization of 49896

Prime Factorization of 49911

Now multiplying the highest exponent prime factors to calculate the LCM of 49896 and 49911.

LCM(49896,49911) = 2³ × 3⁴ × 7¹ × 11¹ × 127¹ × 131¹
LCM(49896,49911) = 830119752