What is the Least Common Multiple of 19470 and 19476?

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 19470 and 19476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19470 and 19476, than apply into the LCM equation.

GCF(19470,19476) = 6
LCM(19470,19476) = ( 19470 × 19476) / 6
LCM(19470,19476) = 379197720 / 6
LCM(19470,19476) = 63199620

Least Common Multiple (LCM) of 19470 and 19476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19470 and 19476. First we will calculate the prime factors of 19470 and 19476.

Prime Factorization of 19470

Prime Factorization of 19476

Now multiplying the highest exponent prime factors to calculate the LCM of 19470 and 19476.

LCM(19470,19476) = 2² × 3² × 5¹ × 11¹ × 59¹ × 541¹
LCM(19470,19476) = 63199620