What is the Least Common Multiple of 19476 and 19489?

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 19476 and 19489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19476 and 19489, than apply into the LCM equation.

GCF(19476,19489) = 1
LCM(19476,19489) = ( 19476 × 19489) / 1
LCM(19476,19489) = 379567764 / 1
LCM(19476,19489) = 379567764

Least Common Multiple (LCM) of 19476 and 19489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19476 and 19489. First we will calculate the prime factors of 19476 and 19489.

Prime Factorization of 19476

Prime Factorization of 19489

Now multiplying the highest exponent prime factors to calculate the LCM of 19476 and 19489.

LCM(19476,19489) = 2² × 3² × 541¹ × 19489¹
LCM(19476,19489) = 379567764