What is the Least Common Multiple of 56713 and 56718?
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 56713 and 56718 is 3216647934.
LCM(56713,56718) = 3216647934
Least Common Multiple of 56713 and 56718 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56713 and 56718, than apply into the LCM equation.
GCF(56713,56718) = 1
LCM(56713,56718) = ( 56713 × 56718) / 1
LCM(56713,56718) = 3216647934 / 1
LCM(56713,56718) = 3216647934
Least Common Multiple (LCM) of 56713 and 56718 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56713 and 56718. First we will calculate the prime factors of 56713 and 56718.
Prime Factorization of 56713
Prime factors of 56713 are 56713. Prime factorization of 56713 in exponential form is:
56713 = 567131
Prime Factorization of 56718
Prime factors of 56718 are 2, 3, 23, 137. Prime factorization of 56718 in exponential form is:
56718 = 21 × 32 × 231 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 56713 and 56718.
LCM(56713,56718) = 567131 × 21 × 32 × 231 × 1371
LCM(56713,56718) = 3216647934
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