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What is the Least Common Multiple of 70913 and 70921?

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 70913 and 70921 is 5029220873.

LCM(70913,70921) = 5029220873

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Least Common Multiple of 70913 and 70921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70913 and 70921, than apply into the LCM equation.

GCF(70913,70921) = 1
LCM(70913,70921) = ( 70913 × 70921) / 1
LCM(70913,70921) = 5029220873 / 1
LCM(70913,70921) = 5029220873

Least Common Multiple (LCM) of 70913 and 70921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70913 and 70921. First we will calculate the prime factors of 70913 and 70921.

Prime Factorization of 70913

Prime factors of 70913 are 70913. Prime factorization of 70913 in exponential form is:

70913 = 709131

Prime Factorization of 70921

Prime factors of 70921 are 70921. Prime factorization of 70921 in exponential form is:

70921 = 709211

Now multiplying the highest exponent prime factors to calculate the LCM of 70913 and 70921.

LCM(70913,70921) = 709131 × 709211
LCM(70913,70921) = 5029220873