What is the Least Common Multiple of 67147 and 67154?
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 67147 and 67154 is 4509189638.
LCM(67147,67154) = 4509189638
Least Common Multiple of 67147 and 67154 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67147 and 67154, than apply into the LCM equation.
GCF(67147,67154) = 1
LCM(67147,67154) = ( 67147 × 67154) / 1
LCM(67147,67154) = 4509189638 / 1
LCM(67147,67154) = 4509189638
Least Common Multiple (LCM) of 67147 and 67154 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67147 and 67154. First we will calculate the prime factors of 67147 and 67154.
Prime Factorization of 67147
Prime factors of 67147 are 83, 809. Prime factorization of 67147 in exponential form is:
67147 = 831 × 8091
Prime Factorization of 67154
Prime factors of 67154 are 2, 33577. Prime factorization of 67154 in exponential form is:
67154 = 21 × 335771
Now multiplying the highest exponent prime factors to calculate the LCM of 67147 and 67154.
LCM(67147,67154) = 831 × 8091 × 21 × 335771
LCM(67147,67154) = 4509189638
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