What is the Least Common Multiple of 91430 and 91439?

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 91430 and 91439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91430 and 91439, than apply into the LCM equation.

GCF(91430,91439) = 1
LCM(91430,91439) = ( 91430 × 91439) / 1
LCM(91430,91439) = 8360267770 / 1
LCM(91430,91439) = 8360267770

Least Common Multiple (LCM) of 91430 and 91439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91430 and 91439. First we will calculate the prime factors of 91430 and 91439.

Prime Factorization of 91430

Prime Factorization of 91439

Now multiplying the highest exponent prime factors to calculate the LCM of 91430 and 91439.

LCM(91430,91439) = 2¹ × 5¹ × 41¹ × 223¹ × 61¹ × 1499¹
LCM(91430,91439) = 8360267770