What is the Least Common Multiple of 19474 and 19481?
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 19474 and 19481 is 54196142.
LCM(19474,19481) = 54196142
Least Common Multiple of 19474 and 19481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19474 and 19481, than apply into the LCM equation.
GCF(19474,19481) = 7
LCM(19474,19481) = ( 19474 × 19481) / 7
LCM(19474,19481) = 379372994 / 7
LCM(19474,19481) = 54196142
Least Common Multiple (LCM) of 19474 and 19481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19474 and 19481. First we will calculate the prime factors of 19474 and 19481.
Prime Factorization of 19474
Prime factors of 19474 are 2, 7, 13, 107. Prime factorization of 19474 in exponential form is:
19474 = 21 × 71 × 131 × 1071
Prime Factorization of 19481
Prime factors of 19481 are 7, 11, 23. Prime factorization of 19481 in exponential form is:
19481 = 71 × 112 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 19474 and 19481.
LCM(19474,19481) = 21 × 71 × 131 × 1071 × 112 × 231
LCM(19474,19481) = 54196142
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Related Least Common Multiples of 19481
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