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What is the Least Common Multiple of 70234 and 70244?

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 70234 and 70244 is 2466758548.

LCM(70234,70244) = 2466758548

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Least Common Multiple of 70234 and 70244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70234 and 70244, than apply into the LCM equation.

GCF(70234,70244) = 2
LCM(70234,70244) = ( 70234 × 70244) / 2
LCM(70234,70244) = 4933517096 / 2
LCM(70234,70244) = 2466758548

Least Common Multiple (LCM) of 70234 and 70244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70234 and 70244. First we will calculate the prime factors of 70234 and 70244.

Prime Factorization of 70234

Prime factors of 70234 are 2, 35117. Prime factorization of 70234 in exponential form is:

70234 = 21 × 351171

Prime Factorization of 70244

Prime factors of 70244 are 2, 17, 1033. Prime factorization of 70244 in exponential form is:

70244 = 22 × 171 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 70234 and 70244.

LCM(70234,70244) = 22 × 351171 × 171 × 10331
LCM(70234,70244) = 2466758548