What is the Least Common Multiple of 43603 and 43620?
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 43603 and 43620 is 1901962860.
LCM(43603,43620) = 1901962860
Least Common Multiple of 43603 and 43620 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43603 and 43620, than apply into the LCM equation.
GCF(43603,43620) = 1
LCM(43603,43620) = ( 43603 × 43620) / 1
LCM(43603,43620) = 1901962860 / 1
LCM(43603,43620) = 1901962860
Least Common Multiple (LCM) of 43603 and 43620 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43603 and 43620. First we will calculate the prime factors of 43603 and 43620.
Prime Factorization of 43603
Prime factors of 43603 are 7, 6229. Prime factorization of 43603 in exponential form is:
43603 = 71 × 62291
Prime Factorization of 43620
Prime factors of 43620 are 2, 3, 5, 727. Prime factorization of 43620 in exponential form is:
43620 = 22 × 31 × 51 × 7271
Now multiplying the highest exponent prime factors to calculate the LCM of 43603 and 43620.
LCM(43603,43620) = 71 × 62291 × 22 × 31 × 51 × 7271
LCM(43603,43620) = 1901962860
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