What is the Least Common Multiple of 43628 and 43634?
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 43628 and 43634 is 951832076.
LCM(43628,43634) = 951832076
Least Common Multiple of 43628 and 43634 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43628 and 43634, than apply into the LCM equation.
GCF(43628,43634) = 2
LCM(43628,43634) = ( 43628 × 43634) / 2
LCM(43628,43634) = 1903664152 / 2
LCM(43628,43634) = 951832076
Least Common Multiple (LCM) of 43628 and 43634 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43628 and 43634. First we will calculate the prime factors of 43628 and 43634.
Prime Factorization of 43628
Prime factors of 43628 are 2, 13, 839. Prime factorization of 43628 in exponential form is:
43628 = 22 × 131 × 8391
Prime Factorization of 43634
Prime factors of 43634 are 2, 21817. Prime factorization of 43634 in exponential form is:
43634 = 21 × 218171
Now multiplying the highest exponent prime factors to calculate the LCM of 43628 and 43634.
LCM(43628,43634) = 22 × 131 × 8391 × 218171
LCM(43628,43634) = 951832076
Related Least Common Multiples of 43628
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Related Least Common Multiples of 43634
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- LCM of 43634 and 43640
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