What is the Least Common Multiple of 69011 and 69027?
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 69011 and 69027 is 4763622297.
LCM(69011,69027) = 4763622297
Least Common Multiple of 69011 and 69027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69011 and 69027, than apply into the LCM equation.
GCF(69011,69027) = 1
LCM(69011,69027) = ( 69011 × 69027) / 1
LCM(69011,69027) = 4763622297 / 1
LCM(69011,69027) = 4763622297
Least Common Multiple (LCM) of 69011 and 69027 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69011 and 69027. First we will calculate the prime factors of 69011 and 69027.
Prime Factorization of 69011
Prime factors of 69011 are 69011. Prime factorization of 69011 in exponential form is:
69011 = 690111
Prime Factorization of 69027
Prime factors of 69027 are 3, 7, 19, 173. Prime factorization of 69027 in exponential form is:
69027 = 31 × 71 × 191 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 69011 and 69027.
LCM(69011,69027) = 690111 × 31 × 71 × 191 × 1731
LCM(69011,69027) = 4763622297
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