What is the Least Common Multiple of 19476 and 19488?
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 (LCM) of 19476 and 19488 is 31629024.
LCM(19476,19488) = 31629024
Least Common Multiple of 19476 and 19488 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 19488, than apply into the LCM equation.
GCF(19476,19488) = 12
LCM(19476,19488) = ( 19476 × 19488) / 12
LCM(19476,19488) = 379548288 / 12
LCM(19476,19488) = 31629024
Least Common Multiple (LCM) of 19476 and 19488 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19476 and 19488. First we will calculate the prime factors of 19476 and 19488.
Prime Factorization of 19476
Prime factors of 19476 are 2, 3, 541. Prime factorization of 19476 in exponential form is:
19476 = 22 × 32 × 5411
Prime Factorization of 19488
Prime factors of 19488 are 2, 3, 7, 29. Prime factorization of 19488 in exponential form is:
19488 = 25 × 31 × 71 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 19476 and 19488.
LCM(19476,19488) = 25 × 32 × 5411 × 71 × 291
LCM(19476,19488) = 31629024
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