What is the Least Common Multiple of 91424 and 91430?

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 91424 and 91430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91424 and 91430, than apply into the LCM equation.

GCF(91424,91430) = 2
LCM(91424,91430) = ( 91424 × 91430) / 2
LCM(91424,91430) = 8358896320 / 2
LCM(91424,91430) = 4179448160

Least Common Multiple (LCM) of 91424 and 91430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91424 and 91430. First we will calculate the prime factors of 91424 and 91430.

Prime Factorization of 91424

Prime Factorization of 91430

Now multiplying the highest exponent prime factors to calculate the LCM of 91424 and 91430.

LCM(91424,91430) = 2⁵ × 2857¹ × 5¹ × 41¹ × 223¹
LCM(91424,91430) = 4179448160