What is the Least Common Multiple of 91252 and 91259?

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 91252 and 91259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91252 and 91259, than apply into the LCM equation.

GCF(91252,91259) = 7
LCM(91252,91259) = ( 91252 × 91259) / 7
LCM(91252,91259) = 8327566268 / 7
LCM(91252,91259) = 1189652324

Least Common Multiple (LCM) of 91252 and 91259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91252 and 91259. First we will calculate the prime factors of 91252 and 91259.

Prime Factorization of 91252

Prime Factorization of 91259

Now multiplying the highest exponent prime factors to calculate the LCM of 91252 and 91259.

LCM(91252,91259) = 2² × 7¹ × 3259¹ × 13037¹
LCM(91252,91259) = 1189652324