What is the Least Common Multiple of 19351 and 19362?
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 19351 and 19362 is 374674062.
LCM(19351,19362) = 374674062
Least Common Multiple of 19351 and 19362 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19351 and 19362, than apply into the LCM equation.
GCF(19351,19362) = 1
LCM(19351,19362) = ( 19351 × 19362) / 1
LCM(19351,19362) = 374674062 / 1
LCM(19351,19362) = 374674062
Least Common Multiple (LCM) of 19351 and 19362 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19351 and 19362. First we will calculate the prime factors of 19351 and 19362.
Prime Factorization of 19351
Prime factors of 19351 are 37, 523. Prime factorization of 19351 in exponential form is:
19351 = 371 × 5231
Prime Factorization of 19362
Prime factors of 19362 are 2, 3, 7, 461. Prime factorization of 19362 in exponential form is:
19362 = 21 × 31 × 71 × 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 19351 and 19362.
LCM(19351,19362) = 371 × 5231 × 21 × 31 × 71 × 4611
LCM(19351,19362) = 374674062
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