What is the Least Common Multiple of 3063 and 3067?
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 3063 and 3067 is 9394221.
LCM(3063,3067) = 9394221
Least Common Multiple of 3063 and 3067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3063 and 3067, than apply into the LCM equation.
GCF(3063,3067) = 1
LCM(3063,3067) = ( 3063 × 3067) / 1
LCM(3063,3067) = 9394221 / 1
LCM(3063,3067) = 9394221
Least Common Multiple (LCM) of 3063 and 3067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3063 and 3067. First we will calculate the prime factors of 3063 and 3067.
Prime Factorization of 3063
Prime factors of 3063 are 3, 1021. Prime factorization of 3063 in exponential form is:
3063 = 31 × 10211
Prime Factorization of 3067
Prime factors of 3067 are 3067. Prime factorization of 3067 in exponential form is:
3067 = 30671
Now multiplying the highest exponent prime factors to calculate the LCM of 3063 and 3067.
LCM(3063,3067) = 31 × 10211 × 30671
LCM(3063,3067) = 9394221
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