What is the Least Common Multiple of 19348 and 19354?
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 19348 and 19354 is 187230596.
LCM(19348,19354) = 187230596
Least Common Multiple of 19348 and 19354 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19348 and 19354, than apply into the LCM equation.
GCF(19348,19354) = 2
LCM(19348,19354) = ( 19348 × 19354) / 2
LCM(19348,19354) = 374461192 / 2
LCM(19348,19354) = 187230596
Least Common Multiple (LCM) of 19348 and 19354 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19348 and 19354. First we will calculate the prime factors of 19348 and 19354.
Prime Factorization of 19348
Prime factors of 19348 are 2, 7, 691. Prime factorization of 19348 in exponential form is:
19348 = 22 × 71 × 6911
Prime Factorization of 19354
Prime factors of 19354 are 2, 9677. Prime factorization of 19354 in exponential form is:
19354 = 21 × 96771
Now multiplying the highest exponent prime factors to calculate the LCM of 19348 and 19354.
LCM(19348,19354) = 22 × 71 × 6911 × 96771
LCM(19348,19354) = 187230596
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