What is the Least Common Multiple of 39787 and 39796?
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 39787 and 39796 is 1583363452.
LCM(39787,39796) = 1583363452
Least Common Multiple of 39787 and 39796 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39787 and 39796, than apply into the LCM equation.
GCF(39787,39796) = 1
LCM(39787,39796) = ( 39787 × 39796) / 1
LCM(39787,39796) = 1583363452 / 1
LCM(39787,39796) = 1583363452
Least Common Multiple (LCM) of 39787 and 39796 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39787 and 39796. First we will calculate the prime factors of 39787 and 39796.
Prime Factorization of 39787
Prime factors of 39787 are 11, 3617. Prime factorization of 39787 in exponential form is:
39787 = 111 × 36171
Prime Factorization of 39796
Prime factors of 39796 are 2, 9949. Prime factorization of 39796 in exponential form is:
39796 = 22 × 99491
Now multiplying the highest exponent prime factors to calculate the LCM of 39787 and 39796.
LCM(39787,39796) = 111 × 36171 × 22 × 99491
LCM(39787,39796) = 1583363452
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