What is the Least Common Multiple of 25228 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 25228 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 25228 and 25236, than apply into the LCM equation.

GCF(25228,25236) = 4
LCM(25228,25236) = ( 25228 × 25236) / 4
LCM(25228,25236) = 636653808 / 4
LCM(25228,25236) = 159163452

Least Common Multiple (LCM) of 25228 and 25236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25228 and 25236. First we will calculate the prime factors of 25228 and 25236.

Prime Factorization of 25228

Prime Factorization of 25236

Now multiplying the highest exponent prime factors to calculate the LCM of 25228 and 25236.

LCM(25228,25236) = 2² × 7¹ × 17¹ × 53¹ × 3² × 701¹
LCM(25228,25236) = 159163452