What is the Least Common Multiple of 38119 and 38124?
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 38119 and 38124 is 1453248756.
LCM(38119,38124) = 1453248756
Least Common Multiple of 38119 and 38124 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38119 and 38124, than apply into the LCM equation.
GCF(38119,38124) = 1
LCM(38119,38124) = ( 38119 × 38124) / 1
LCM(38119,38124) = 1453248756 / 1
LCM(38119,38124) = 1453248756
Least Common Multiple (LCM) of 38119 and 38124 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38119 and 38124. First we will calculate the prime factors of 38119 and 38124.
Prime Factorization of 38119
Prime factors of 38119 are 38119. Prime factorization of 38119 in exponential form is:
38119 = 381191
Prime Factorization of 38124
Prime factors of 38124 are 2, 3, 353. Prime factorization of 38124 in exponential form is:
38124 = 22 × 33 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 38119 and 38124.
LCM(38119,38124) = 381191 × 22 × 33 × 3531
LCM(38119,38124) = 1453248756
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