What is the Least Common Multiple of 25216 and 25236?

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 25216 and 25236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25216 and 25236, than apply into the LCM equation.

GCF(25216,25236) = 4
LCM(25216,25236) = ( 25216 × 25236) / 4
LCM(25216,25236) = 636350976 / 4
LCM(25216,25236) = 159087744

Least Common Multiple (LCM) of 25216 and 25236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25216 and 25236. First we will calculate the prime factors of 25216 and 25236.

Prime Factorization of 25216

Prime Factorization of 25236

Now multiplying the highest exponent prime factors to calculate the LCM of 25216 and 25236.

LCM(25216,25236) = 2⁷ × 197¹ × 3² × 701¹
LCM(25216,25236) = 159087744