What is the Least Common Multiple of 19534 and 19542?

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 19534 and 19542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19534 and 19542, than apply into the LCM equation.

GCF(19534,19542) = 2
LCM(19534,19542) = ( 19534 × 19542) / 2
LCM(19534,19542) = 381733428 / 2
LCM(19534,19542) = 190866714

Least Common Multiple (LCM) of 19534 and 19542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19534 and 19542. First we will calculate the prime factors of 19534 and 19542.

Prime Factorization of 19534

Prime Factorization of 19542

Now multiplying the highest exponent prime factors to calculate the LCM of 19534 and 19542.

LCM(19534,19542) = 2¹ × 9767¹ × 3¹ × 3257¹
LCM(19534,19542) = 190866714