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What is the Least Common Multiple of 70055 and 70059?

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 70055 and 70059 is 4907983245.

LCM(70055,70059) = 4907983245

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Least Common Multiple of 70055 and 70059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70055 and 70059, than apply into the LCM equation.

GCF(70055,70059) = 1
LCM(70055,70059) = ( 70055 × 70059) / 1
LCM(70055,70059) = 4907983245 / 1
LCM(70055,70059) = 4907983245

Least Common Multiple (LCM) of 70055 and 70059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70055 and 70059. First we will calculate the prime factors of 70055 and 70059.

Prime Factorization of 70055

Prime factors of 70055 are 5, 14011. Prime factorization of 70055 in exponential form is:

70055 = 51 × 140111

Prime Factorization of 70059

Prime factors of 70059 are 3, 11, 193. Prime factorization of 70059 in exponential form is:

70059 = 31 × 112 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 70055 and 70059.

LCM(70055,70059) = 51 × 140111 × 31 × 112 × 1931
LCM(70055,70059) = 4907983245