What is the Least Common Multiple of 22387 and 22396?
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 22387 and 22396 is 501379252.
LCM(22387,22396) = 501379252
Least Common Multiple of 22387 and 22396 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22387 and 22396, than apply into the LCM equation.
GCF(22387,22396) = 1
LCM(22387,22396) = ( 22387 × 22396) / 1
LCM(22387,22396) = 501379252 / 1
LCM(22387,22396) = 501379252
Least Common Multiple (LCM) of 22387 and 22396 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22387 and 22396. First we will calculate the prime factors of 22387 and 22396.
Prime Factorization of 22387
Prime factors of 22387 are 61, 367. Prime factorization of 22387 in exponential form is:
22387 = 611 × 3671
Prime Factorization of 22396
Prime factors of 22396 are 2, 11, 509. Prime factorization of 22396 in exponential form is:
22396 = 22 × 111 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 22387 and 22396.
LCM(22387,22396) = 611 × 3671 × 22 × 111 × 5091
LCM(22387,22396) = 501379252
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