What is the Least Common Multiple of 56036 and 56043?
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 56036 and 56043 is 3140425548.
LCM(56036,56043) = 3140425548
Least Common Multiple of 56036 and 56043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56036 and 56043, than apply into the LCM equation.
GCF(56036,56043) = 1
LCM(56036,56043) = ( 56036 × 56043) / 1
LCM(56036,56043) = 3140425548 / 1
LCM(56036,56043) = 3140425548
Least Common Multiple (LCM) of 56036 and 56043 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56036 and 56043. First we will calculate the prime factors of 56036 and 56043.
Prime Factorization of 56036
Prime factors of 56036 are 2, 14009. Prime factorization of 56036 in exponential form is:
56036 = 22 × 140091
Prime Factorization of 56043
Prime factors of 56043 are 3, 13, 479. Prime factorization of 56043 in exponential form is:
56043 = 32 × 131 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 56036 and 56043.
LCM(56036,56043) = 22 × 140091 × 32 × 131 × 4791
LCM(56036,56043) = 3140425548
Related Least Common Multiples of 56036
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Related Least Common Multiples of 56043
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