What is the Least Common Multiple of 19956 and 19964?

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 19956 and 19964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19956 and 19964, than apply into the LCM equation.

GCF(19956,19964) = 4
LCM(19956,19964) = ( 19956 × 19964) / 4
LCM(19956,19964) = 398401584 / 4
LCM(19956,19964) = 99600396

Least Common Multiple (LCM) of 19956 and 19964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19956 and 19964. First we will calculate the prime factors of 19956 and 19964.

Prime Factorization of 19956

Prime Factorization of 19964

Now multiplying the highest exponent prime factors to calculate the LCM of 19956 and 19964.

LCM(19956,19964) = 2² × 3¹ × 1663¹ × 7¹ × 23¹ × 31¹
LCM(19956,19964) = 99600396