What is the Least Common Multiple of 96441 and 96458?

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 96441 and 96458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96441 and 96458, than apply into the LCM equation.

GCF(96441,96458) = 17
LCM(96441,96458) = ( 96441 × 96458) / 17
LCM(96441,96458) = 9302505978 / 17
LCM(96441,96458) = 547206234

Least Common Multiple (LCM) of 96441 and 96458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96441 and 96458. First we will calculate the prime factors of 96441 and 96458.

Prime Factorization of 96441

Prime Factorization of 96458

Now multiplying the highest exponent prime factors to calculate the LCM of 96441 and 96458.

LCM(96441,96458) = 3¹ × 17¹ × 31¹ × 61¹ × 2¹ × 2837¹
LCM(96441,96458) = 547206234