What is the Least Common Multiple of 39676 and 39687?
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 39676 and 39687 is 1574621412.
LCM(39676,39687) = 1574621412
Least Common Multiple of 39676 and 39687 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39676 and 39687, than apply into the LCM equation.
GCF(39676,39687) = 1
LCM(39676,39687) = ( 39676 × 39687) / 1
LCM(39676,39687) = 1574621412 / 1
LCM(39676,39687) = 1574621412
Least Common Multiple (LCM) of 39676 and 39687 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39676 and 39687. First we will calculate the prime factors of 39676 and 39687.
Prime Factorization of 39676
Prime factors of 39676 are 2, 7, 13, 109. Prime factorization of 39676 in exponential form is:
39676 = 22 × 71 × 131 × 1091
Prime Factorization of 39687
Prime factors of 39687 are 3, 13229. Prime factorization of 39687 in exponential form is:
39687 = 31 × 132291
Now multiplying the highest exponent prime factors to calculate the LCM of 39676 and 39687.
LCM(39676,39687) = 22 × 71 × 131 × 1091 × 31 × 132291
LCM(39676,39687) = 1574621412
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