What is the Least Common Multiple of 70317 and 70333?

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 70317 and 70333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70317 and 70333, than apply into the LCM equation.

GCF(70317,70333) = 1
LCM(70317,70333) = ( 70317 × 70333) / 1
LCM(70317,70333) = 4945605561 / 1
LCM(70317,70333) = 4945605561

Least Common Multiple (LCM) of 70317 and 70333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70317 and 70333. First we will calculate the prime factors of 70317 and 70333.

Prime Factorization of 70317

Prime Factorization of 70333

Now multiplying the highest exponent prime factors to calculate the LCM of 70317 and 70333.

LCM(70317,70333) = 3² × 13¹ × 601¹ × 61¹ × 1153¹
LCM(70317,70333) = 4945605561