What is the Least Common Multiple of 79569 and 79575?

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 79569 and 79575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79569 and 79575, than apply into the LCM equation.

GCF(79569,79575) = 3
LCM(79569,79575) = ( 79569 × 79575) / 3
LCM(79569,79575) = 6331703175 / 3
LCM(79569,79575) = 2110567725

Least Common Multiple (LCM) of 79569 and 79575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79569 and 79575. First we will calculate the prime factors of 79569 and 79575.

Prime Factorization of 79569

Prime Factorization of 79575

Now multiplying the highest exponent prime factors to calculate the LCM of 79569 and 79575.

LCM(79569,79575) = 3³ × 7¹ × 421¹ × 5² × 1061¹
LCM(79569,79575) = 2110567725