What is the Least Common Multiple of 12778 and 12787?
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 12778 and 12787 is 163392286.
LCM(12778,12787) = 163392286
Least Common Multiple of 12778 and 12787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12778 and 12787, than apply into the LCM equation.
GCF(12778,12787) = 1
LCM(12778,12787) = ( 12778 × 12787) / 1
LCM(12778,12787) = 163392286 / 1
LCM(12778,12787) = 163392286
Least Common Multiple (LCM) of 12778 and 12787 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12778 and 12787. First we will calculate the prime factors of 12778 and 12787.
Prime Factorization of 12778
Prime factors of 12778 are 2, 6389. Prime factorization of 12778 in exponential form is:
12778 = 21 × 63891
Prime Factorization of 12787
Prime factors of 12787 are 19, 673. Prime factorization of 12787 in exponential form is:
12787 = 191 × 6731
Now multiplying the highest exponent prime factors to calculate the LCM of 12778 and 12787.
LCM(12778,12787) = 21 × 63891 × 191 × 6731
LCM(12778,12787) = 163392286
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