What is the Least Common Multiple of 39956 and 39965?
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 39956 and 39965 is 1596841540.
LCM(39956,39965) = 1596841540
Least Common Multiple of 39956 and 39965 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39956 and 39965, than apply into the LCM equation.
GCF(39956,39965) = 1
LCM(39956,39965) = ( 39956 × 39965) / 1
LCM(39956,39965) = 1596841540 / 1
LCM(39956,39965) = 1596841540
Least Common Multiple (LCM) of 39956 and 39965 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39956 and 39965. First we will calculate the prime factors of 39956 and 39965.
Prime Factorization of 39956
Prime factors of 39956 are 2, 7, 1427. Prime factorization of 39956 in exponential form is:
39956 = 22 × 71 × 14271
Prime Factorization of 39965
Prime factors of 39965 are 5, 7993. Prime factorization of 39965 in exponential form is:
39965 = 51 × 79931
Now multiplying the highest exponent prime factors to calculate the LCM of 39956 and 39965.
LCM(39956,39965) = 22 × 71 × 14271 × 51 × 79931
LCM(39956,39965) = 1596841540
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