What is the Least Common Multiple of 43607 and 43621?
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 43607 and 43621 is 1902180947.
LCM(43607,43621) = 1902180947
Least Common Multiple of 43607 and 43621 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43607 and 43621, than apply into the LCM equation.
GCF(43607,43621) = 1
LCM(43607,43621) = ( 43607 × 43621) / 1
LCM(43607,43621) = 1902180947 / 1
LCM(43607,43621) = 1902180947
Least Common Multiple (LCM) of 43607 and 43621 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43607 and 43621. First we will calculate the prime factors of 43607 and 43621.
Prime Factorization of 43607
Prime factors of 43607 are 43607. Prime factorization of 43607 in exponential form is:
43607 = 436071
Prime Factorization of 43621
Prime factors of 43621 are 181, 241. Prime factorization of 43621 in exponential form is:
43621 = 1811 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 43607 and 43621.
LCM(43607,43621) = 436071 × 1811 × 2411
LCM(43607,43621) = 1902180947
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