What is the Least Common Multiple of 62067 and 62071?
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 62067 and 62071 is 3852560757.
LCM(62067,62071) = 3852560757
Least Common Multiple of 62067 and 62071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62067 and 62071, than apply into the LCM equation.
GCF(62067,62071) = 1
LCM(62067,62071) = ( 62067 × 62071) / 1
LCM(62067,62071) = 3852560757 / 1
LCM(62067,62071) = 3852560757
Least Common Multiple (LCM) of 62067 and 62071 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62067 and 62071. First we will calculate the prime factors of 62067 and 62071.
Prime Factorization of 62067
Prime factors of 62067 are 3, 17, 1217. Prime factorization of 62067 in exponential form is:
62067 = 31 × 171 × 12171
Prime Factorization of 62071
Prime factors of 62071 are 62071. Prime factorization of 62071 in exponential form is:
62071 = 620711
Now multiplying the highest exponent prime factors to calculate the LCM of 62067 and 62071.
LCM(62067,62071) = 31 × 171 × 12171 × 620711
LCM(62067,62071) = 3852560757
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