What is the Least Common Multiple of 56661 and 56670?
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 56661 and 56670 is 1070326290.
LCM(56661,56670) = 1070326290
Least Common Multiple of 56661 and 56670 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56661 and 56670, than apply into the LCM equation.
GCF(56661,56670) = 3
LCM(56661,56670) = ( 56661 × 56670) / 3
LCM(56661,56670) = 3210978870 / 3
LCM(56661,56670) = 1070326290
Least Common Multiple (LCM) of 56661 and 56670 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56661 and 56670. First we will calculate the prime factors of 56661 and 56670.
Prime Factorization of 56661
Prime factors of 56661 are 3, 11, 17, 101. Prime factorization of 56661 in exponential form is:
56661 = 31 × 111 × 171 × 1011
Prime Factorization of 56670
Prime factors of 56670 are 2, 3, 5, 1889. Prime factorization of 56670 in exponential form is:
56670 = 21 × 31 × 51 × 18891
Now multiplying the highest exponent prime factors to calculate the LCM of 56661 and 56670.
LCM(56661,56670) = 31 × 111 × 171 × 1011 × 21 × 51 × 18891
LCM(56661,56670) = 1070326290
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