What is the Least Common Multiple of 11432 and 11436?
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 11432 and 11436 is 32684088.
LCM(11432,11436) = 32684088
Least Common Multiple of 11432 and 11436 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11432 and 11436, than apply into the LCM equation.
GCF(11432,11436) = 4
LCM(11432,11436) = ( 11432 × 11436) / 4
LCM(11432,11436) = 130736352 / 4
LCM(11432,11436) = 32684088
Least Common Multiple (LCM) of 11432 and 11436 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11432 and 11436. First we will calculate the prime factors of 11432 and 11436.
Prime Factorization of 11432
Prime factors of 11432 are 2, 1429. Prime factorization of 11432 in exponential form is:
11432 = 23 × 14291
Prime Factorization of 11436
Prime factors of 11436 are 2, 3, 953. Prime factorization of 11436 in exponential form is:
11436 = 22 × 31 × 9531
Now multiplying the highest exponent prime factors to calculate the LCM of 11432 and 11436.
LCM(11432,11436) = 23 × 14291 × 31 × 9531
LCM(11432,11436) = 32684088
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Related Least Common Multiples of 11436
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