What is the Least Common Multiple of 75221 and 75239?

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 75221 and 75239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75221 and 75239, than apply into the LCM equation.

GCF(75221,75239) = 1
LCM(75221,75239) = ( 75221 × 75239) / 1
LCM(75221,75239) = 5659552819 / 1
LCM(75221,75239) = 5659552819

Least Common Multiple (LCM) of 75221 and 75239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75221 and 75239. First we will calculate the prime factors of 75221 and 75239.

Prime Factorization of 75221

Prime Factorization of 75239

Now multiplying the highest exponent prime factors to calculate the LCM of 75221 and 75239.

LCM(75221,75239) = 19¹ × 37¹ × 107¹ × 75239¹
LCM(75221,75239) = 5659552819