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What is the Least Common Multiple of 70445 and 70454?

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 70445 and 70454 is 4963132030.

LCM(70445,70454) = 4963132030

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Least Common Multiple of 70445 and 70454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70445 and 70454, than apply into the LCM equation.

GCF(70445,70454) = 1
LCM(70445,70454) = ( 70445 × 70454) / 1
LCM(70445,70454) = 4963132030 / 1
LCM(70445,70454) = 4963132030

Least Common Multiple (LCM) of 70445 and 70454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70445 and 70454. First we will calculate the prime factors of 70445 and 70454.

Prime Factorization of 70445

Prime factors of 70445 are 5, 73, 193. Prime factorization of 70445 in exponential form is:

70445 = 51 × 731 × 1931

Prime Factorization of 70454

Prime factors of 70454 are 2, 35227. Prime factorization of 70454 in exponential form is:

70454 = 21 × 352271

Now multiplying the highest exponent prime factors to calculate the LCM of 70445 and 70454.

LCM(70445,70454) = 51 × 731 × 1931 × 21 × 352271
LCM(70445,70454) = 4963132030