What is the Least Common Multiple of 67867 and 67877?
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 67867 and 67877 is 4606608359.
LCM(67867,67877) = 4606608359
Least Common Multiple of 67867 and 67877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67867 and 67877, than apply into the LCM equation.
GCF(67867,67877) = 1
LCM(67867,67877) = ( 67867 × 67877) / 1
LCM(67867,67877) = 4606608359 / 1
LCM(67867,67877) = 4606608359
Least Common Multiple (LCM) of 67867 and 67877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67867 and 67877. First we will calculate the prime factors of 67867 and 67877.
Prime Factorization of 67867
Prime factors of 67867 are 67867. Prime factorization of 67867 in exponential form is:
67867 = 678671
Prime Factorization of 67877
Prime factors of 67877 are 103, 659. Prime factorization of 67877 in exponential form is:
67877 = 1031 × 6591
Now multiplying the highest exponent prime factors to calculate the LCM of 67867 and 67877.
LCM(67867,67877) = 678671 × 1031 × 6591
LCM(67867,67877) = 4606608359
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