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What is the Least Common Multiple of 70353 and 70373?

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 70353 and 70373 is 4950951669.

LCM(70353,70373) = 4950951669

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Least Common Multiple of 70353 and 70373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70353 and 70373, than apply into the LCM equation.

GCF(70353,70373) = 1
LCM(70353,70373) = ( 70353 × 70373) / 1
LCM(70353,70373) = 4950951669 / 1
LCM(70353,70373) = 4950951669

Least Common Multiple (LCM) of 70353 and 70373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70353 and 70373. First we will calculate the prime factors of 70353 and 70373.

Prime Factorization of 70353

Prime factors of 70353 are 3, 7817. Prime factorization of 70353 in exponential form is:

70353 = 32 × 78171

Prime Factorization of 70373

Prime factors of 70373 are 70373. Prime factorization of 70373 in exponential form is:

70373 = 703731

Now multiplying the highest exponent prime factors to calculate the LCM of 70353 and 70373.

LCM(70353,70373) = 32 × 78171 × 703731
LCM(70353,70373) = 4950951669