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What is the Least Common Multiple of 70387 and 70406?

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 70387 and 70406 is 4955667122.

LCM(70387,70406) = 4955667122

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Least Common Multiple of 70387 and 70406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70387 and 70406, than apply into the LCM equation.

GCF(70387,70406) = 1
LCM(70387,70406) = ( 70387 × 70406) / 1
LCM(70387,70406) = 4955667122 / 1
LCM(70387,70406) = 4955667122

Least Common Multiple (LCM) of 70387 and 70406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70387 and 70406. First we will calculate the prime factors of 70387 and 70406.

Prime Factorization of 70387

Prime factors of 70387 are 59, 1193. Prime factorization of 70387 in exponential form is:

70387 = 591 × 11931

Prime Factorization of 70406

Prime factors of 70406 are 2, 7, 47, 107. Prime factorization of 70406 in exponential form is:

70406 = 21 × 71 × 471 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 70387 and 70406.

LCM(70387,70406) = 591 × 11931 × 21 × 71 × 471 × 1071
LCM(70387,70406) = 4955667122