What is the Least Common Multiple of 87043 and 87051?
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 87043 and 87051 is 7577180193.
LCM(87043,87051) = 7577180193
Least Common Multiple of 87043 and 87051 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87043 and 87051, than apply into the LCM equation.
GCF(87043,87051) = 1
LCM(87043,87051) = ( 87043 × 87051) / 1
LCM(87043,87051) = 7577180193 / 1
LCM(87043,87051) = 7577180193
Least Common Multiple (LCM) of 87043 and 87051 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87043 and 87051. First we will calculate the prime factors of 87043 and 87051.
Prime Factorization of 87043
Prime factors of 87043 are 11, 41, 193. Prime factorization of 87043 in exponential form is:
87043 = 111 × 411 × 1931
Prime Factorization of 87051
Prime factors of 87051 are 3, 29017. Prime factorization of 87051 in exponential form is:
87051 = 31 × 290171
Now multiplying the highest exponent prime factors to calculate the LCM of 87043 and 87051.
LCM(87043,87051) = 111 × 411 × 1931 × 31 × 290171
LCM(87043,87051) = 7577180193
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