What is the Least Common Multiple of 96415 and 96427?

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 96415 and 96427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96415 and 96427, than apply into the LCM equation.

GCF(96415,96427) = 1
LCM(96415,96427) = ( 96415 × 96427) / 1
LCM(96415,96427) = 9297009205 / 1
LCM(96415,96427) = 9297009205

Least Common Multiple (LCM) of 96415 and 96427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96415 and 96427. First we will calculate the prime factors of 96415 and 96427.

Prime Factorization of 96415

Prime Factorization of 96427

Now multiplying the highest exponent prime factors to calculate the LCM of 96415 and 96427.

LCM(96415,96427) = 5¹ × 11¹ × 1753¹ × 211¹ × 457¹
LCM(96415,96427) = 9297009205