What is the Least Common Multiple of 56645 and 56665?
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 56645 and 56665 is 641957785.
LCM(56645,56665) = 641957785
Least Common Multiple of 56645 and 56665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56645 and 56665, than apply into the LCM equation.
GCF(56645,56665) = 5
LCM(56645,56665) = ( 56645 × 56665) / 5
LCM(56645,56665) = 3209788925 / 5
LCM(56645,56665) = 641957785
Least Common Multiple (LCM) of 56645 and 56665 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56645 and 56665. First we will calculate the prime factors of 56645 and 56665.
Prime Factorization of 56645
Prime factors of 56645 are 5, 11329. Prime factorization of 56645 in exponential form is:
56645 = 51 × 113291
Prime Factorization of 56665
Prime factors of 56665 are 5, 7, 1619. Prime factorization of 56665 in exponential form is:
56665 = 51 × 71 × 16191
Now multiplying the highest exponent prime factors to calculate the LCM of 56645 and 56665.
LCM(56645,56665) = 51 × 113291 × 71 × 16191
LCM(56645,56665) = 641957785
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