What is the Least Common Multiple of 69355 and 69373?
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 69355 and 69373 is 4811364415.
LCM(69355,69373) = 4811364415
Least Common Multiple of 69355 and 69373 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69355 and 69373, than apply into the LCM equation.
GCF(69355,69373) = 1
LCM(69355,69373) = ( 69355 × 69373) / 1
LCM(69355,69373) = 4811364415 / 1
LCM(69355,69373) = 4811364415
Least Common Multiple (LCM) of 69355 and 69373 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69355 and 69373. First we will calculate the prime factors of 69355 and 69373.
Prime Factorization of 69355
Prime factors of 69355 are 5, 11, 13, 97. Prime factorization of 69355 in exponential form is:
69355 = 51 × 111 × 131 × 971
Prime Factorization of 69373
Prime factors of 69373 are 173, 401. Prime factorization of 69373 in exponential form is:
69373 = 1731 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 69355 and 69373.
LCM(69355,69373) = 51 × 111 × 131 × 971 × 1731 × 4011
LCM(69355,69373) = 4811364415
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