What is the Least Common Multiple of 70365 and 70375?

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 70365 and 70375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70365 and 70375, than apply into the LCM equation.

GCF(70365,70375) = 5
LCM(70365,70375) = ( 70365 × 70375) / 5
LCM(70365,70375) = 4951936875 / 5
LCM(70365,70375) = 990387375

Least Common Multiple (LCM) of 70365 and 70375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70365 and 70375. First we will calculate the prime factors of 70365 and 70375.

Prime Factorization of 70365

Prime Factorization of 70375

Now multiplying the highest exponent prime factors to calculate the LCM of 70365 and 70375.

LCM(70365,70375) = 3¹ × 5³ × 4691¹ × 563¹
LCM(70365,70375) = 990387375