What is the Least Common Multiple of 39967 and 39983?
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 39967 and 39983 is 1598000561.
LCM(39967,39983) = 1598000561
Least Common Multiple of 39967 and 39983 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39967 and 39983, than apply into the LCM equation.
GCF(39967,39983) = 1
LCM(39967,39983) = ( 39967 × 39983) / 1
LCM(39967,39983) = 1598000561 / 1
LCM(39967,39983) = 1598000561
Least Common Multiple (LCM) of 39967 and 39983 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39967 and 39983. First we will calculate the prime factors of 39967 and 39983.
Prime Factorization of 39967
Prime factors of 39967 are 17, 2351. Prime factorization of 39967 in exponential form is:
39967 = 171 × 23511
Prime Factorization of 39983
Prime factors of 39983 are 39983. Prime factorization of 39983 in exponential form is:
39983 = 399831
Now multiplying the highest exponent prime factors to calculate the LCM of 39967 and 39983.
LCM(39967,39983) = 171 × 23511 × 399831
LCM(39967,39983) = 1598000561
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