What is the Least Common Multiple of 72675 and 72692?

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 72675 and 72692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72675 and 72692, than apply into the LCM equation.

GCF(72675,72692) = 17
LCM(72675,72692) = ( 72675 × 72692) / 17
LCM(72675,72692) = 5282891100 / 17
LCM(72675,72692) = 310758300

Least Common Multiple (LCM) of 72675 and 72692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72675 and 72692. First we will calculate the prime factors of 72675 and 72692.

Prime Factorization of 72675

Prime Factorization of 72692

Now multiplying the highest exponent prime factors to calculate the LCM of 72675 and 72692.

LCM(72675,72692) = 3² × 5² × 17¹ × 19¹ × 2² × 1069¹
LCM(72675,72692) = 310758300