What is the Least Common Multiple of 70753 and 70771?

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 70753 and 70771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70753 and 70771, than apply into the LCM equation.

GCF(70753,70771) = 1
LCM(70753,70771) = ( 70753 × 70771) / 1
LCM(70753,70771) = 5007260563 / 1
LCM(70753,70771) = 5007260563

Least Common Multiple (LCM) of 70753 and 70771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70753 and 70771. First we will calculate the prime factors of 70753 and 70771.

Prime Factorization of 70753

Prime Factorization of 70771

Now multiplying the highest exponent prime factors to calculate the LCM of 70753 and 70771.

LCM(70753,70771) = 70753¹ × 17¹ × 23¹ × 181¹
LCM(70753,70771) = 5007260563