What is the Least Common Multiple of 56658 and 56669?
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 56658 and 56669 is 3210752202.
LCM(56658,56669) = 3210752202
Least Common Multiple of 56658 and 56669 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56658 and 56669, than apply into the LCM equation.
GCF(56658,56669) = 1
LCM(56658,56669) = ( 56658 × 56669) / 1
LCM(56658,56669) = 3210752202 / 1
LCM(56658,56669) = 3210752202
Least Common Multiple (LCM) of 56658 and 56669 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56658 and 56669. First we will calculate the prime factors of 56658 and 56669.
Prime Factorization of 56658
Prime factors of 56658 are 2, 3, 7, 19, 71. Prime factorization of 56658 in exponential form is:
56658 = 21 × 31 × 71 × 191 × 711
Prime Factorization of 56669
Prime factors of 56669 are 61, 929. Prime factorization of 56669 in exponential form is:
56669 = 611 × 9291
Now multiplying the highest exponent prime factors to calculate the LCM of 56658 and 56669.
LCM(56658,56669) = 21 × 31 × 71 × 191 × 711 × 611 × 9291
LCM(56658,56669) = 3210752202
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