What is the Least Common Multiple of 59228 and 59248?

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 59228 and 59248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59228 and 59248, than apply into the LCM equation.

GCF(59228,59248) = 4
LCM(59228,59248) = ( 59228 × 59248) / 4
LCM(59228,59248) = 3509140544 / 4
LCM(59228,59248) = 877285136

Least Common Multiple (LCM) of 59228 and 59248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59228 and 59248. First we will calculate the prime factors of 59228 and 59248.

Prime Factorization of 59228

Prime Factorization of 59248

Now multiplying the highest exponent prime factors to calculate the LCM of 59228 and 59248.

LCM(59228,59248) = 2⁴ × 13¹ × 17¹ × 67¹ × 7¹ × 23²
LCM(59228,59248) = 877285136