What is the Least Common Multiple of 89705 and 89719?

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 89705 and 89719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89705 and 89719, than apply into the LCM equation.

GCF(89705,89719) = 7
LCM(89705,89719) = ( 89705 × 89719) / 7
LCM(89705,89719) = 8048242895 / 7
LCM(89705,89719) = 1149748985

Least Common Multiple (LCM) of 89705 and 89719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89705 and 89719. First we will calculate the prime factors of 89705 and 89719.

Prime Factorization of 89705

Prime Factorization of 89719

Now multiplying the highest exponent prime factors to calculate the LCM of 89705 and 89719.

LCM(89705,89719) = 5¹ × 7² × 11¹ × 233¹ × 1831¹
LCM(89705,89719) = 1149748985