What is the Least Common Multiple of 19304 and 19315?

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 19304 and 19315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19304 and 19315, than apply into the LCM equation.

GCF(19304,19315) = 1
LCM(19304,19315) = ( 19304 × 19315) / 1
LCM(19304,19315) = 372856760 / 1
LCM(19304,19315) = 372856760

Least Common Multiple (LCM) of 19304 and 19315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19304 and 19315. First we will calculate the prime factors of 19304 and 19315.

Prime Factorization of 19304

Prime Factorization of 19315

Now multiplying the highest exponent prime factors to calculate the LCM of 19304 and 19315.

LCM(19304,19315) = 2³ × 19¹ × 127¹ × 5¹ × 3863¹
LCM(19304,19315) = 372856760