What is the Least Common Multiple of 78627 and 78637?
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 78627 and 78637 is 6182991399.
LCM(78627,78637) = 6182991399
Least Common Multiple of 78627 and 78637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78627 and 78637, than apply into the LCM equation.
GCF(78627,78637) = 1
LCM(78627,78637) = ( 78627 × 78637) / 1
LCM(78627,78637) = 6182991399 / 1
LCM(78627,78637) = 6182991399
Least Common Multiple (LCM) of 78627 and 78637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78627 and 78637. First we will calculate the prime factors of 78627 and 78637.
Prime Factorization of 78627
Prime factors of 78627 are 3, 26209. Prime factorization of 78627 in exponential form is:
78627 = 31 × 262091
Prime Factorization of 78637
Prime factors of 78637 are 13, 23, 263. Prime factorization of 78637 in exponential form is:
78637 = 131 × 231 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 78627 and 78637.
LCM(78627,78637) = 31 × 262091 × 131 × 231 × 2631
LCM(78627,78637) = 6182991399
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