What is the Least Common Multiple of 19486 and 19494?
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 19486 and 19494 is 189930042.
LCM(19486,19494) = 189930042
Least Common Multiple of 19486 and 19494 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19486 and 19494, than apply into the LCM equation.
GCF(19486,19494) = 2
LCM(19486,19494) = ( 19486 × 19494) / 2
LCM(19486,19494) = 379860084 / 2
LCM(19486,19494) = 189930042
Least Common Multiple (LCM) of 19486 and 19494 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19486 and 19494. First we will calculate the prime factors of 19486 and 19494.
Prime Factorization of 19486
Prime factors of 19486 are 2, 9743. Prime factorization of 19486 in exponential form is:
19486 = 21 × 97431
Prime Factorization of 19494
Prime factors of 19494 are 2, 3, 19. Prime factorization of 19494 in exponential form is:
19494 = 21 × 33 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 19486 and 19494.
LCM(19486,19494) = 21 × 97431 × 33 × 192
LCM(19486,19494) = 189930042
Related Least Common Multiples of 19486
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Related Least Common Multiples of 19494
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