What is the Least Common Multiple of 19050 and 19068?

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 19050 and 19068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19050 and 19068, than apply into the LCM equation.

GCF(19050,19068) = 6
LCM(19050,19068) = ( 19050 × 19068) / 6
LCM(19050,19068) = 363245400 / 6
LCM(19050,19068) = 60540900

Least Common Multiple (LCM) of 19050 and 19068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19050 and 19068. First we will calculate the prime factors of 19050 and 19068.

Prime Factorization of 19050

Prime Factorization of 19068

Now multiplying the highest exponent prime factors to calculate the LCM of 19050 and 19068.

LCM(19050,19068) = 2² × 3¹ × 5² × 127¹ × 7¹ × 227¹
LCM(19050,19068) = 60540900