What is the Least Common Multiple of 56633 and 56637?
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 56633 and 56637 is 3207523221.
LCM(56633,56637) = 3207523221
Least Common Multiple of 56633 and 56637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56633 and 56637, than apply into the LCM equation.
GCF(56633,56637) = 1
LCM(56633,56637) = ( 56633 × 56637) / 1
LCM(56633,56637) = 3207523221 / 1
LCM(56633,56637) = 3207523221
Least Common Multiple (LCM) of 56633 and 56637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56633 and 56637. First we will calculate the prime factors of 56633 and 56637.
Prime Factorization of 56633
Prime factors of 56633 are 56633. Prime factorization of 56633 in exponential form is:
56633 = 566331
Prime Factorization of 56637
Prime factors of 56637 are 3, 7, 29, 31. Prime factorization of 56637 in exponential form is:
56637 = 32 × 71 × 291 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 56633 and 56637.
LCM(56633,56637) = 566331 × 32 × 71 × 291 × 311
LCM(56633,56637) = 3207523221
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