What is the Least Common Multiple of 19370 and 19382?
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 19370 and 19382 is 187714670.
LCM(19370,19382) = 187714670
Least Common Multiple of 19370 and 19382 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19370 and 19382, than apply into the LCM equation.
GCF(19370,19382) = 2
LCM(19370,19382) = ( 19370 × 19382) / 2
LCM(19370,19382) = 375429340 / 2
LCM(19370,19382) = 187714670
Least Common Multiple (LCM) of 19370 and 19382 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19370 and 19382. First we will calculate the prime factors of 19370 and 19382.
Prime Factorization of 19370
Prime factors of 19370 are 2, 5, 13, 149. Prime factorization of 19370 in exponential form is:
19370 = 21 × 51 × 131 × 1491
Prime Factorization of 19382
Prime factors of 19382 are 2, 11, 881. Prime factorization of 19382 in exponential form is:
19382 = 21 × 111 × 8811
Now multiplying the highest exponent prime factors to calculate the LCM of 19370 and 19382.
LCM(19370,19382) = 21 × 51 × 131 × 1491 × 111 × 8811
LCM(19370,19382) = 187714670
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