What is the Least Common Multiple of 89095 and 89111?
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 89095 and 89111 is 7939344545.
LCM(89095,89111) = 7939344545
Least Common Multiple of 89095 and 89111 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89095 and 89111, than apply into the LCM equation.
GCF(89095,89111) = 1
LCM(89095,89111) = ( 89095 × 89111) / 1
LCM(89095,89111) = 7939344545 / 1
LCM(89095,89111) = 7939344545
Least Common Multiple (LCM) of 89095 and 89111 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89095 and 89111. First we will calculate the prime factors of 89095 and 89111.
Prime Factorization of 89095
Prime factors of 89095 are 5, 103, 173. Prime factorization of 89095 in exponential form is:
89095 = 51 × 1031 × 1731
Prime Factorization of 89111
Prime factors of 89111 are 11, 8101. Prime factorization of 89111 in exponential form is:
89111 = 111 × 81011
Now multiplying the highest exponent prime factors to calculate the LCM of 89095 and 89111.
LCM(89095,89111) = 51 × 1031 × 1731 × 111 × 81011
LCM(89095,89111) = 7939344545
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