What is the Least Common Multiple of 19546 and 19566?

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 19546 and 19566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19546 and 19566, than apply into the LCM equation.

GCF(19546,19566) = 2
LCM(19546,19566) = ( 19546 × 19566) / 2
LCM(19546,19566) = 382437036 / 2
LCM(19546,19566) = 191218518

Least Common Multiple (LCM) of 19546 and 19566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19546 and 19566. First we will calculate the prime factors of 19546 and 19566.

Prime Factorization of 19546

Prime Factorization of 19566

Now multiplying the highest exponent prime factors to calculate the LCM of 19546 and 19566.

LCM(19546,19566) = 2¹ × 29¹ × 337¹ × 3² × 1087¹
LCM(19546,19566) = 191218518