What is the Least Common Multiple of 70569 and 70579?

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 70569 and 70579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70569 and 70579, than apply into the LCM equation.

GCF(70569,70579) = 1
LCM(70569,70579) = ( 70569 × 70579) / 1
LCM(70569,70579) = 4980689451 / 1
LCM(70569,70579) = 4980689451

Least Common Multiple (LCM) of 70569 and 70579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70569 and 70579. First we will calculate the prime factors of 70569 and 70579.

Prime Factorization of 70569

Prime Factorization of 70579

Now multiplying the highest exponent prime factors to calculate the LCM of 70569 and 70579.

LCM(70569,70579) = 3² × 7841¹ × 163¹ × 433¹
LCM(70569,70579) = 4980689451