What is the Least Common Multiple of 19545 and 19561?

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 19545 and 19561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19545 and 19561, than apply into the LCM equation.

GCF(19545,19561) = 1
LCM(19545,19561) = ( 19545 × 19561) / 1
LCM(19545,19561) = 382319745 / 1
LCM(19545,19561) = 382319745

Least Common Multiple (LCM) of 19545 and 19561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19545 and 19561. First we will calculate the prime factors of 19545 and 19561.

Prime Factorization of 19545

Prime Factorization of 19561

Now multiplying the highest exponent prime factors to calculate the LCM of 19545 and 19561.

LCM(19545,19561) = 3¹ × 5¹ × 1303¹ × 31¹ × 631¹
LCM(19545,19561) = 382319745