What is the Least Common Multiple of 62146 and 62155?
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 62146 and 62155 is 3862684630.
LCM(62146,62155) = 3862684630
Least Common Multiple of 62146 and 62155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62146 and 62155, than apply into the LCM equation.
GCF(62146,62155) = 1
LCM(62146,62155) = ( 62146 × 62155) / 1
LCM(62146,62155) = 3862684630 / 1
LCM(62146,62155) = 3862684630
Least Common Multiple (LCM) of 62146 and 62155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62146 and 62155. First we will calculate the prime factors of 62146 and 62155.
Prime Factorization of 62146
Prime factors of 62146 are 2, 7, 23, 193. Prime factorization of 62146 in exponential form is:
62146 = 21 × 71 × 231 × 1931
Prime Factorization of 62155
Prime factors of 62155 are 5, 31, 401. Prime factorization of 62155 in exponential form is:
62155 = 51 × 311 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 62146 and 62155.
LCM(62146,62155) = 21 × 71 × 231 × 1931 × 51 × 311 × 4011
LCM(62146,62155) = 3862684630
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