What is the Least Common Multiple of 39968 and 39987?
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 39968 and 39987 is 1598200416.
LCM(39968,39987) = 1598200416
Least Common Multiple of 39968 and 39987 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39968 and 39987, than apply into the LCM equation.
GCF(39968,39987) = 1
LCM(39968,39987) = ( 39968 × 39987) / 1
LCM(39968,39987) = 1598200416 / 1
LCM(39968,39987) = 1598200416
Least Common Multiple (LCM) of 39968 and 39987 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39968 and 39987. First we will calculate the prime factors of 39968 and 39987.
Prime Factorization of 39968
Prime factors of 39968 are 2, 1249. Prime factorization of 39968 in exponential form is:
39968 = 25 × 12491
Prime Factorization of 39987
Prime factors of 39987 are 3, 1481. Prime factorization of 39987 in exponential form is:
39987 = 33 × 14811
Now multiplying the highest exponent prime factors to calculate the LCM of 39968 and 39987.
LCM(39968,39987) = 25 × 12491 × 33 × 14811
LCM(39968,39987) = 1598200416
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