What is the Least Common Multiple of 75228 and 75248?

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 75228 and 75248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75228 and 75248, than apply into the LCM equation.

GCF(75228,75248) = 4
LCM(75228,75248) = ( 75228 × 75248) / 4
LCM(75228,75248) = 5660756544 / 4
LCM(75228,75248) = 1415189136

Least Common Multiple (LCM) of 75228 and 75248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75228 and 75248. First we will calculate the prime factors of 75228 and 75248.

Prime Factorization of 75228

Prime Factorization of 75248

Now multiplying the highest exponent prime factors to calculate the LCM of 75228 and 75248.

LCM(75228,75248) = 2⁴ × 3¹ × 6269¹ × 4703¹
LCM(75228,75248) = 1415189136