What is the Least Common Multiple of 42300 and 42316?

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 42300 and 42316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42300 and 42316, than apply into the LCM equation.

GCF(42300,42316) = 4
LCM(42300,42316) = ( 42300 × 42316) / 4
LCM(42300,42316) = 1789966800 / 4
LCM(42300,42316) = 447491700

Least Common Multiple (LCM) of 42300 and 42316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42300 and 42316. First we will calculate the prime factors of 42300 and 42316.

Prime Factorization of 42300

Prime Factorization of 42316

Now multiplying the highest exponent prime factors to calculate the LCM of 42300 and 42316.

LCM(42300,42316) = 2² × 3² × 5² × 47¹ × 71¹ × 149¹
LCM(42300,42316) = 447491700