What is the Least Common Multiple of 19107 and 19124?
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 19107 and 19124 is 365402268.
LCM(19107,19124) = 365402268
Least Common Multiple of 19107 and 19124 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19107 and 19124, than apply into the LCM equation.
GCF(19107,19124) = 1
LCM(19107,19124) = ( 19107 × 19124) / 1
LCM(19107,19124) = 365402268 / 1
LCM(19107,19124) = 365402268
Least Common Multiple (LCM) of 19107 and 19124 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19107 and 19124. First we will calculate the prime factors of 19107 and 19124.
Prime Factorization of 19107
Prime factors of 19107 are 3, 11, 193. Prime factorization of 19107 in exponential form is:
19107 = 32 × 111 × 1931
Prime Factorization of 19124
Prime factors of 19124 are 2, 7, 683. Prime factorization of 19124 in exponential form is:
19124 = 22 × 71 × 6831
Now multiplying the highest exponent prime factors to calculate the LCM of 19107 and 19124.
LCM(19107,19124) = 32 × 111 × 1931 × 22 × 71 × 6831
LCM(19107,19124) = 365402268
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