What is the Least Common Multiple of 96474 and 96488?

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 96474 and 96488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96474 and 96488, than apply into the LCM equation.

GCF(96474,96488) = 14
LCM(96474,96488) = ( 96474 × 96488) / 14
LCM(96474,96488) = 9308583312 / 14
LCM(96474,96488) = 664898808

Least Common Multiple (LCM) of 96474 and 96488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96474 and 96488. First we will calculate the prime factors of 96474 and 96488.

Prime Factorization of 96474

Prime Factorization of 96488

Now multiplying the highest exponent prime factors to calculate the LCM of 96474 and 96488.

LCM(96474,96488) = 2³ × 3¹ × 7¹ × 2297¹ × 1723¹
LCM(96474,96488) = 664898808