What is the Least Common Multiple of 19546 and 19564?

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 19564 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 19564, than apply into the LCM equation.

GCF(19546,19564) = 2
LCM(19546,19564) = ( 19546 × 19564) / 2
LCM(19546,19564) = 382397944 / 2
LCM(19546,19564) = 191198972

Least Common Multiple (LCM) of 19546 and 19564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19546 and 19564. First we will calculate the prime factors of 19546 and 19564.

Prime Factorization of 19546

Prime Factorization of 19564

Now multiplying the highest exponent prime factors to calculate the LCM of 19546 and 19564.

LCM(19546,19564) = 2² × 29¹ × 337¹ × 67¹ × 73¹
LCM(19546,19564) = 191198972