What is the Least Common Multiple of 70287 and 70291?

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 70287 and 70291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70287 and 70291, than apply into the LCM equation.

GCF(70287,70291) = 1
LCM(70287,70291) = ( 70287 × 70291) / 1
LCM(70287,70291) = 4940543517 / 1
LCM(70287,70291) = 4940543517

Least Common Multiple (LCM) of 70287 and 70291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70287 and 70291. First we will calculate the prime factors of 70287 and 70291.

Prime Factorization of 70287

Prime Factorization of 70291

Now multiplying the highest exponent prime factors to calculate the LCM of 70287 and 70291.

LCM(70287,70291) = 3¹ × 7¹ × 3347¹ × 13¹ × 5407¹
LCM(70287,70291) = 4940543517