What is the Least Common Multiple of 49216 and 49236?

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 49216 and 49236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49216 and 49236, than apply into the LCM equation.

GCF(49216,49236) = 4
LCM(49216,49236) = ( 49216 × 49236) / 4
LCM(49216,49236) = 2423198976 / 4
LCM(49216,49236) = 605799744

Least Common Multiple (LCM) of 49216 and 49236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49216 and 49236. First we will calculate the prime factors of 49216 and 49236.

Prime Factorization of 49216

Prime Factorization of 49236

Now multiplying the highest exponent prime factors to calculate the LCM of 49216 and 49236.

LCM(49216,49236) = 2⁶ × 769¹ × 3¹ × 11¹ × 373¹
LCM(49216,49236) = 605799744