What is the Least Common Multiple of 55170 and 55187?
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 55170 and 55187 is 3044666790.
LCM(55170,55187) = 3044666790
Least Common Multiple of 55170 and 55187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55170 and 55187, than apply into the LCM equation.
GCF(55170,55187) = 1
LCM(55170,55187) = ( 55170 × 55187) / 1
LCM(55170,55187) = 3044666790 / 1
LCM(55170,55187) = 3044666790
Least Common Multiple (LCM) of 55170 and 55187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55170 and 55187. First we will calculate the prime factors of 55170 and 55187.
Prime Factorization of 55170
Prime factors of 55170 are 2, 3, 5, 613. Prime factorization of 55170 in exponential form is:
55170 = 21 × 32 × 51 × 6131
Prime Factorization of 55187
Prime factors of 55187 are 11, 29, 173. Prime factorization of 55187 in exponential form is:
55187 = 111 × 291 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 55170 and 55187.
LCM(55170,55187) = 21 × 32 × 51 × 6131 × 111 × 291 × 1731
LCM(55170,55187) = 3044666790
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