What is the Least Common Multiple of 12340 and 12357?
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 12340 and 12357 is 152485380.
LCM(12340,12357) = 152485380
Least Common Multiple of 12340 and 12357 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12340 and 12357, than apply into the LCM equation.
GCF(12340,12357) = 1
LCM(12340,12357) = ( 12340 × 12357) / 1
LCM(12340,12357) = 152485380 / 1
LCM(12340,12357) = 152485380
Least Common Multiple (LCM) of 12340 and 12357 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12340 and 12357. First we will calculate the prime factors of 12340 and 12357.
Prime Factorization of 12340
Prime factors of 12340 are 2, 5, 617. Prime factorization of 12340 in exponential form is:
12340 = 22 × 51 × 6171
Prime Factorization of 12357
Prime factors of 12357 are 3, 1373. Prime factorization of 12357 in exponential form is:
12357 = 32 × 13731
Now multiplying the highest exponent prime factors to calculate the LCM of 12340 and 12357.
LCM(12340,12357) = 22 × 51 × 6171 × 32 × 13731
LCM(12340,12357) = 152485380
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