What is the Least Common Multiple of 19614 and 19632?

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 19614 and 19632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19614 and 19632, than apply into the LCM equation.

GCF(19614,19632) = 6
LCM(19614,19632) = ( 19614 × 19632) / 6
LCM(19614,19632) = 385062048 / 6
LCM(19614,19632) = 64177008

Least Common Multiple (LCM) of 19614 and 19632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19614 and 19632. First we will calculate the prime factors of 19614 and 19632.

Prime Factorization of 19614

Prime Factorization of 19632

Now multiplying the highest exponent prime factors to calculate the LCM of 19614 and 19632.

LCM(19614,19632) = 2⁴ × 3¹ × 7¹ × 467¹ × 409¹
LCM(19614,19632) = 64177008