What is the Least Common Multiple of 15377 and 15391?
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 15377 and 15391 is 236667407.
LCM(15377,15391) = 236667407
Least Common Multiple of 15377 and 15391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15377 and 15391, than apply into the LCM equation.
GCF(15377,15391) = 1
LCM(15377,15391) = ( 15377 × 15391) / 1
LCM(15377,15391) = 236667407 / 1
LCM(15377,15391) = 236667407
Least Common Multiple (LCM) of 15377 and 15391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15377 and 15391. First we will calculate the prime factors of 15377 and 15391.
Prime Factorization of 15377
Prime factors of 15377 are 15377. Prime factorization of 15377 in exponential form is:
15377 = 153771
Prime Factorization of 15391
Prime factors of 15391 are 15391. Prime factorization of 15391 in exponential form is:
15391 = 153911
Now multiplying the highest exponent prime factors to calculate the LCM of 15377 and 15391.
LCM(15377,15391) = 153771 × 153911
LCM(15377,15391) = 236667407
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