What is the Least Common Multiple of 49896 and 49904?

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 49904 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 49904, than apply into the LCM equation.

GCF(49896,49904) = 8
LCM(49896,49904) = ( 49896 × 49904) / 8
LCM(49896,49904) = 2490009984 / 8
LCM(49896,49904) = 311251248

Least Common Multiple (LCM) of 49896 and 49904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49896 and 49904. First we will calculate the prime factors of 49896 and 49904.

Prime Factorization of 49896

Prime Factorization of 49904

Now multiplying the highest exponent prime factors to calculate the LCM of 49896 and 49904.

LCM(49896,49904) = 2⁴ × 3⁴ × 7¹ × 11¹ × 3119¹
LCM(49896,49904) = 311251248