What is the Least Common Multiple of 19146 and 19153?

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 19146 and 19153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19146 and 19153, than apply into the LCM equation.

GCF(19146,19153) = 1
LCM(19146,19153) = ( 19146 × 19153) / 1
LCM(19146,19153) = 366703338 / 1
LCM(19146,19153) = 366703338

Least Common Multiple (LCM) of 19146 and 19153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19146 and 19153. First we will calculate the prime factors of 19146 and 19153.

Prime Factorization of 19146

Prime Factorization of 19153

Now multiplying the highest exponent prime factors to calculate the LCM of 19146 and 19153.

LCM(19146,19153) = 2¹ × 3¹ × 3191¹ × 107¹ × 179¹
LCM(19146,19153) = 366703338