What is the Least Common Multiple of 18769 and 18788?
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 18769 and 18788 is 352631972.
LCM(18769,18788) = 352631972
Least Common Multiple of 18769 and 18788 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18769 and 18788, than apply into the LCM equation.
GCF(18769,18788) = 1
LCM(18769,18788) = ( 18769 × 18788) / 1
LCM(18769,18788) = 352631972 / 1
LCM(18769,18788) = 352631972
Least Common Multiple (LCM) of 18769 and 18788 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18769 and 18788. First we will calculate the prime factors of 18769 and 18788.
Prime Factorization of 18769
Prime factors of 18769 are 137. Prime factorization of 18769 in exponential form is:
18769 = 1372
Prime Factorization of 18788
Prime factors of 18788 are 2, 7, 11, 61. Prime factorization of 18788 in exponential form is:
18788 = 22 × 71 × 111 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 18769 and 18788.
LCM(18769,18788) = 1372 × 22 × 71 × 111 × 611
LCM(18769,18788) = 352631972
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