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What is the Least Common Multiple of 70627 and 70634?

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 70627 and 70634 is 4988667518.

LCM(70627,70634) = 4988667518

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Least Common Multiple of 70627 and 70634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70627 and 70634, than apply into the LCM equation.

GCF(70627,70634) = 1
LCM(70627,70634) = ( 70627 × 70634) / 1
LCM(70627,70634) = 4988667518 / 1
LCM(70627,70634) = 4988667518

Least Common Multiple (LCM) of 70627 and 70634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70627 and 70634. First we will calculate the prime factors of 70627 and 70634.

Prime Factorization of 70627

Prime factors of 70627 are 70627. Prime factorization of 70627 in exponential form is:

70627 = 706271

Prime Factorization of 70634

Prime factors of 70634 are 2, 35317. Prime factorization of 70634 in exponential form is:

70634 = 21 × 353171

Now multiplying the highest exponent prime factors to calculate the LCM of 70627 and 70634.

LCM(70627,70634) = 706271 × 21 × 353171
LCM(70627,70634) = 4988667518