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What is the Least Common Multiple of 69401 and 69412?

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 69401 and 69412 is 4817262212.

LCM(69401,69412) = 4817262212

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Least Common Multiple of 69401 and 69412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69401 and 69412, than apply into the LCM equation.

GCF(69401,69412) = 1
LCM(69401,69412) = ( 69401 × 69412) / 1
LCM(69401,69412) = 4817262212 / 1
LCM(69401,69412) = 4817262212

Least Common Multiple (LCM) of 69401 and 69412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69401 and 69412. First we will calculate the prime factors of 69401 and 69412.

Prime Factorization of 69401

Prime factors of 69401 are 69401. Prime factorization of 69401 in exponential form is:

69401 = 694011

Prime Factorization of 69412

Prime factors of 69412 are 2, 7, 37, 67. Prime factorization of 69412 in exponential form is:

69412 = 22 × 71 × 371 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 69401 and 69412.

LCM(69401,69412) = 694011 × 22 × 71 × 371 × 671
LCM(69401,69412) = 4817262212