What is the Least Common Multiple of 56646 and 56655?
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 56646 and 56655 is 356586570.
LCM(56646,56655) = 356586570
Least Common Multiple of 56646 and 56655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56646 and 56655, than apply into the LCM equation.
GCF(56646,56655) = 9
LCM(56646,56655) = ( 56646 × 56655) / 9
LCM(56646,56655) = 3209279130 / 9
LCM(56646,56655) = 356586570
Least Common Multiple (LCM) of 56646 and 56655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56646 and 56655. First we will calculate the prime factors of 56646 and 56655.
Prime Factorization of 56646
Prime factors of 56646 are 2, 3, 1049. Prime factorization of 56646 in exponential form is:
56646 = 21 × 33 × 10491
Prime Factorization of 56655
Prime factors of 56655 are 3, 5, 1259. Prime factorization of 56655 in exponential form is:
56655 = 32 × 51 × 12591
Now multiplying the highest exponent prime factors to calculate the LCM of 56646 and 56655.
LCM(56646,56655) = 21 × 33 × 10491 × 51 × 12591
LCM(56646,56655) = 356586570
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