What is the Least Common Multiple of 62167 and 62185?
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 62167 and 62185 is 3865854895.
LCM(62167,62185) = 3865854895
Least Common Multiple of 62167 and 62185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62167 and 62185, than apply into the LCM equation.
GCF(62167,62185) = 1
LCM(62167,62185) = ( 62167 × 62185) / 1
LCM(62167,62185) = 3865854895 / 1
LCM(62167,62185) = 3865854895
Least Common Multiple (LCM) of 62167 and 62185 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62167 and 62185. First we will calculate the prime factors of 62167 and 62185.
Prime Factorization of 62167
Prime factors of 62167 are 7, 83, 107. Prime factorization of 62167 in exponential form is:
62167 = 71 × 831 × 1071
Prime Factorization of 62185
Prime factors of 62185 are 5, 12437. Prime factorization of 62185 in exponential form is:
62185 = 51 × 124371
Now multiplying the highest exponent prime factors to calculate the LCM of 62167 and 62185.
LCM(62167,62185) = 71 × 831 × 1071 × 51 × 124371
LCM(62167,62185) = 3865854895
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