What is the Least Common Multiple of 56677 and 56694?
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 56677 and 56694 is 3213245838.
LCM(56677,56694) = 3213245838
Least Common Multiple of 56677 and 56694 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56677 and 56694, than apply into the LCM equation.
GCF(56677,56694) = 1
LCM(56677,56694) = ( 56677 × 56694) / 1
LCM(56677,56694) = 3213245838 / 1
LCM(56677,56694) = 3213245838
Least Common Multiple (LCM) of 56677 and 56694 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56677 and 56694. First we will calculate the prime factors of 56677 and 56694.
Prime Factorization of 56677
Prime factors of 56677 are 19, 157. Prime factorization of 56677 in exponential form is:
56677 = 192 × 1571
Prime Factorization of 56694
Prime factors of 56694 are 2, 3, 11, 859. Prime factorization of 56694 in exponential form is:
56694 = 21 × 31 × 111 × 8591
Now multiplying the highest exponent prime factors to calculate the LCM of 56677 and 56694.
LCM(56677,56694) = 192 × 1571 × 21 × 31 × 111 × 8591
LCM(56677,56694) = 3213245838
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