What is the Least Common Multiple of 96465 and 96469?

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 96465 and 96469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96465 and 96469, than apply into the LCM equation.

GCF(96465,96469) = 1
LCM(96465,96469) = ( 96465 × 96469) / 1
LCM(96465,96469) = 9305882085 / 1
LCM(96465,96469) = 9305882085

Least Common Multiple (LCM) of 96465 and 96469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96465 and 96469. First we will calculate the prime factors of 96465 and 96469.

Prime Factorization of 96465

Prime Factorization of 96469

Now multiplying the highest exponent prime factors to calculate the LCM of 96465 and 96469.

LCM(96465,96469) = 3¹ × 5¹ × 59¹ × 109¹ × 96469¹
LCM(96465,96469) = 9305882085