What is the Least Common Multiple of 19557 and 19577?

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 19557 and 19577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19557 and 19577, than apply into the LCM equation.

GCF(19557,19577) = 1
LCM(19557,19577) = ( 19557 × 19577) / 1
LCM(19557,19577) = 382867389 / 1
LCM(19557,19577) = 382867389

Least Common Multiple (LCM) of 19557 and 19577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19557 and 19577. First we will calculate the prime factors of 19557 and 19577.

Prime Factorization of 19557

Prime Factorization of 19577

Now multiplying the highest exponent prime factors to calculate the LCM of 19557 and 19577.

LCM(19557,19577) = 3² × 41¹ × 53¹ × 19577¹
LCM(19557,19577) = 382867389