What is the Least Common Multiple of 69101 and 69109?
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 69101 and 69109 is 4775501009.
LCM(69101,69109) = 4775501009
Least Common Multiple of 69101 and 69109 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69101 and 69109, than apply into the LCM equation.
GCF(69101,69109) = 1
LCM(69101,69109) = ( 69101 × 69109) / 1
LCM(69101,69109) = 4775501009 / 1
LCM(69101,69109) = 4775501009
Least Common Multiple (LCM) of 69101 and 69109 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69101 and 69109. First we will calculate the prime factors of 69101 and 69109.
Prime Factorization of 69101
Prime factors of 69101 are 43, 1607. Prime factorization of 69101 in exponential form is:
69101 = 431 × 16071
Prime Factorization of 69109
Prime factors of 69109 are 69109. Prime factorization of 69109 in exponential form is:
69109 = 691091
Now multiplying the highest exponent prime factors to calculate the LCM of 69101 and 69109.
LCM(69101,69109) = 431 × 16071 × 691091
LCM(69101,69109) = 4775501009
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