What is the Least Common Multiple of 96355 and 96369?

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 96355 and 96369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96355 and 96369, than apply into the LCM equation.

GCF(96355,96369) = 7
LCM(96355,96369) = ( 96355 × 96369) / 7
LCM(96355,96369) = 9285634995 / 7
LCM(96355,96369) = 1326519285

Least Common Multiple (LCM) of 96355 and 96369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96355 and 96369. First we will calculate the prime factors of 96355 and 96369.

Prime Factorization of 96355

Prime Factorization of 96369

Now multiplying the highest exponent prime factors to calculate the LCM of 96355 and 96369.

LCM(96355,96369) = 5¹ × 7¹ × 2753¹ × 3¹ × 13¹ × 353¹
LCM(96355,96369) = 1326519285