What is the Least Common Multiple of 91430 and 91445?

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 91445 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 91445, than apply into the LCM equation.

GCF(91430,91445) = 5
LCM(91430,91445) = ( 91430 × 91445) / 5
LCM(91430,91445) = 8360816350 / 5
LCM(91430,91445) = 1672163270

Least Common Multiple (LCM) of 91430 and 91445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91430 and 91445. First we will calculate the prime factors of 91430 and 91445.

Prime Factorization of 91430

Prime Factorization of 91445

Now multiplying the highest exponent prime factors to calculate the LCM of 91430 and 91445.

LCM(91430,91445) = 2¹ × 5¹ × 41¹ × 223¹ × 18289¹
LCM(91430,91445) = 1672163270