What is the Least Common Multiple of 62147 and 62166?
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 62147 and 62166 is 3863430402.
LCM(62147,62166) = 3863430402
Least Common Multiple of 62147 and 62166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62147 and 62166, than apply into the LCM equation.
GCF(62147,62166) = 1
LCM(62147,62166) = ( 62147 × 62166) / 1
LCM(62147,62166) = 3863430402 / 1
LCM(62147,62166) = 3863430402
Least Common Multiple (LCM) of 62147 and 62166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62147 and 62166. First we will calculate the prime factors of 62147 and 62166.
Prime Factorization of 62147
Prime factors of 62147 are 29, 2143. Prime factorization of 62147 in exponential form is:
62147 = 291 × 21431
Prime Factorization of 62166
Prime factors of 62166 are 2, 3, 13, 797. Prime factorization of 62166 in exponential form is:
62166 = 21 × 31 × 131 × 7971
Now multiplying the highest exponent prime factors to calculate the LCM of 62147 and 62166.
LCM(62147,62166) = 291 × 21431 × 21 × 31 × 131 × 7971
LCM(62147,62166) = 3863430402
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