What is the Least Common Multiple of 12787 and 12802?
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 12787 and 12802 is 163699174.
LCM(12787,12802) = 163699174
Least Common Multiple of 12787 and 12802 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12787 and 12802, than apply into the LCM equation.
GCF(12787,12802) = 1
LCM(12787,12802) = ( 12787 × 12802) / 1
LCM(12787,12802) = 163699174 / 1
LCM(12787,12802) = 163699174
Least Common Multiple (LCM) of 12787 and 12802 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12787 and 12802. First we will calculate the prime factors of 12787 and 12802.
Prime Factorization of 12787
Prime factors of 12787 are 19, 673. Prime factorization of 12787 in exponential form is:
12787 = 191 × 6731
Prime Factorization of 12802
Prime factors of 12802 are 2, 37, 173. Prime factorization of 12802 in exponential form is:
12802 = 21 × 371 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 12787 and 12802.
LCM(12787,12802) = 191 × 6731 × 21 × 371 × 1731
LCM(12787,12802) = 163699174
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