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What is the Least Common Multiple of 69400 and 69416?

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 69400 and 69416 is 602183800.

LCM(69400,69416) = 602183800

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Least Common Multiple of 69400 and 69416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69400 and 69416, than apply into the LCM equation.

GCF(69400,69416) = 8
LCM(69400,69416) = ( 69400 × 69416) / 8
LCM(69400,69416) = 4817470400 / 8
LCM(69400,69416) = 602183800

Least Common Multiple (LCM) of 69400 and 69416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69400 and 69416. First we will calculate the prime factors of 69400 and 69416.

Prime Factorization of 69400

Prime factors of 69400 are 2, 5, 347. Prime factorization of 69400 in exponential form is:

69400 = 23 × 52 × 3471

Prime Factorization of 69416

Prime factors of 69416 are 2, 8677. Prime factorization of 69416 in exponential form is:

69416 = 23 × 86771

Now multiplying the highest exponent prime factors to calculate the LCM of 69400 and 69416.

LCM(69400,69416) = 23 × 52 × 3471 × 86771
LCM(69400,69416) = 602183800