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What is the Least Common Multiple of 70111 and 70130?

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 70111 and 70130 is 4916884430.

LCM(70111,70130) = 4916884430

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Least Common Multiple of 70111 and 70130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70111 and 70130, than apply into the LCM equation.

GCF(70111,70130) = 1
LCM(70111,70130) = ( 70111 × 70130) / 1
LCM(70111,70130) = 4916884430 / 1
LCM(70111,70130) = 4916884430

Least Common Multiple (LCM) of 70111 and 70130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70111 and 70130. First we will calculate the prime factors of 70111 and 70130.

Prime Factorization of 70111

Prime factors of 70111 are 70111. Prime factorization of 70111 in exponential form is:

70111 = 701111

Prime Factorization of 70130

Prime factors of 70130 are 2, 5, 7013. Prime factorization of 70130 in exponential form is:

70130 = 21 × 51 × 70131

Now multiplying the highest exponent prime factors to calculate the LCM of 70111 and 70130.

LCM(70111,70130) = 701111 × 21 × 51 × 70131
LCM(70111,70130) = 4916884430