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What is the Least Common Multiple of 70922 and 70937?

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 70922 and 70937 is 5030993914.

LCM(70922,70937) = 5030993914

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Least Common Multiple of 70922 and 70937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70922 and 70937, than apply into the LCM equation.

GCF(70922,70937) = 1
LCM(70922,70937) = ( 70922 × 70937) / 1
LCM(70922,70937) = 5030993914 / 1
LCM(70922,70937) = 5030993914

Least Common Multiple (LCM) of 70922 and 70937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70922 and 70937. First we will calculate the prime factors of 70922 and 70937.

Prime Factorization of 70922

Prime factors of 70922 are 2, 35461. Prime factorization of 70922 in exponential form is:

70922 = 21 × 354611

Prime Factorization of 70937

Prime factors of 70937 are 70937. Prime factorization of 70937 in exponential form is:

70937 = 709371

Now multiplying the highest exponent prime factors to calculate the LCM of 70922 and 70937.

LCM(70922,70937) = 21 × 354611 × 709371
LCM(70922,70937) = 5030993914