What is the Least Common Multiple of 12377 and 12396?
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 12377 and 12396 is 153425292.
LCM(12377,12396) = 153425292
Least Common Multiple of 12377 and 12396 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12377 and 12396, than apply into the LCM equation.
GCF(12377,12396) = 1
LCM(12377,12396) = ( 12377 × 12396) / 1
LCM(12377,12396) = 153425292 / 1
LCM(12377,12396) = 153425292
Least Common Multiple (LCM) of 12377 and 12396 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12377 and 12396. First we will calculate the prime factors of 12377 and 12396.
Prime Factorization of 12377
Prime factors of 12377 are 12377. Prime factorization of 12377 in exponential form is:
12377 = 123771
Prime Factorization of 12396
Prime factors of 12396 are 2, 3, 1033. Prime factorization of 12396 in exponential form is:
12396 = 22 × 31 × 10331
Now multiplying the highest exponent prime factors to calculate the LCM of 12377 and 12396.
LCM(12377,12396) = 123771 × 22 × 31 × 10331
LCM(12377,12396) = 153425292
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