What is the Least Common Multiple of 19516 and 19534?

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 19516 and 19534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19516 and 19534, than apply into the LCM equation.

GCF(19516,19534) = 2
LCM(19516,19534) = ( 19516 × 19534) / 2
LCM(19516,19534) = 381225544 / 2
LCM(19516,19534) = 190612772

Least Common Multiple (LCM) of 19516 and 19534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19516 and 19534. First we will calculate the prime factors of 19516 and 19534.

Prime Factorization of 19516

Prime Factorization of 19534

Now multiplying the highest exponent prime factors to calculate the LCM of 19516 and 19534.

LCM(19516,19534) = 2² × 7¹ × 17¹ × 41¹ × 9767¹
LCM(19516,19534) = 190612772