What is the Least Common Multiple of 41601 and 41609?
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 41601 and 41609 is 1730976009.
LCM(41601,41609) = 1730976009
Least Common Multiple of 41601 and 41609 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41601 and 41609, than apply into the LCM equation.
GCF(41601,41609) = 1
LCM(41601,41609) = ( 41601 × 41609) / 1
LCM(41601,41609) = 1730976009 / 1
LCM(41601,41609) = 1730976009
Least Common Multiple (LCM) of 41601 and 41609 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41601 and 41609. First we will calculate the prime factors of 41601 and 41609.
Prime Factorization of 41601
Prime factors of 41601 are 3, 7, 283. Prime factorization of 41601 in exponential form is:
41601 = 31 × 72 × 2831
Prime Factorization of 41609
Prime factors of 41609 are 41609. Prime factorization of 41609 in exponential form is:
41609 = 416091
Now multiplying the highest exponent prime factors to calculate the LCM of 41601 and 41609.
LCM(41601,41609) = 31 × 72 × 2831 × 416091
LCM(41601,41609) = 1730976009
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