What is the Least Common Multiple of 19274 and 19293?
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 19274 and 19293 is 371853282.
LCM(19274,19293) = 371853282
Least Common Multiple of 19274 and 19293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19274 and 19293, than apply into the LCM equation.
GCF(19274,19293) = 1
LCM(19274,19293) = ( 19274 × 19293) / 1
LCM(19274,19293) = 371853282 / 1
LCM(19274,19293) = 371853282
Least Common Multiple (LCM) of 19274 and 19293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19274 and 19293. First we will calculate the prime factors of 19274 and 19293.
Prime Factorization of 19274
Prime factors of 19274 are 2, 23, 419. Prime factorization of 19274 in exponential form is:
19274 = 21 × 231 × 4191
Prime Factorization of 19293
Prime factors of 19293 are 3, 59, 109. Prime factorization of 19293 in exponential form is:
19293 = 31 × 591 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 19274 and 19293.
LCM(19274,19293) = 21 × 231 × 4191 × 31 × 591 × 1091
LCM(19274,19293) = 371853282
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