What is the Least Common Multiple of 63155 and 63166?
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 63155 and 63166 is 3989248730.
LCM(63155,63166) = 3989248730
Least Common Multiple of 63155 and 63166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63155 and 63166, than apply into the LCM equation.
GCF(63155,63166) = 1
LCM(63155,63166) = ( 63155 × 63166) / 1
LCM(63155,63166) = 3989248730 / 1
LCM(63155,63166) = 3989248730
Least Common Multiple (LCM) of 63155 and 63166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63155 and 63166. First we will calculate the prime factors of 63155 and 63166.
Prime Factorization of 63155
Prime factors of 63155 are 5, 17, 743. Prime factorization of 63155 in exponential form is:
63155 = 51 × 171 × 7431
Prime Factorization of 63166
Prime factors of 63166 are 2, 31583. Prime factorization of 63166 in exponential form is:
63166 = 21 × 315831
Now multiplying the highest exponent prime factors to calculate the LCM of 63155 and 63166.
LCM(63155,63166) = 51 × 171 × 7431 × 21 × 315831
LCM(63155,63166) = 3989248730
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