What is the Least Common Multiple of 19300 and 19318?

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 19300 and 19318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19300 and 19318, than apply into the LCM equation.

GCF(19300,19318) = 2
LCM(19300,19318) = ( 19300 × 19318) / 2
LCM(19300,19318) = 372837400 / 2
LCM(19300,19318) = 186418700

Least Common Multiple (LCM) of 19300 and 19318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19300 and 19318. First we will calculate the prime factors of 19300 and 19318.

Prime Factorization of 19300

Prime Factorization of 19318

Now multiplying the highest exponent prime factors to calculate the LCM of 19300 and 19318.

LCM(19300,19318) = 2² × 5² × 193¹ × 13¹ × 743¹
LCM(19300,19318) = 186418700