What is the Least Common Multiple of 56671 and 56677?
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 56671 and 56677 is 3211942267.
LCM(56671,56677) = 3211942267
Least Common Multiple of 56671 and 56677 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56671 and 56677, than apply into the LCM equation.
GCF(56671,56677) = 1
LCM(56671,56677) = ( 56671 × 56677) / 1
LCM(56671,56677) = 3211942267 / 1
LCM(56671,56677) = 3211942267
Least Common Multiple (LCM) of 56671 and 56677 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56671 and 56677. First we will calculate the prime factors of 56671 and 56677.
Prime Factorization of 56671
Prime factors of 56671 are 56671. Prime factorization of 56671 in exponential form is:
56671 = 566711
Prime Factorization of 56677
Prime factors of 56677 are 19, 157. Prime factorization of 56677 in exponential form is:
56677 = 192 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 56671 and 56677.
LCM(56671,56677) = 566711 × 192 × 1571
LCM(56671,56677) = 3211942267
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