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What is the Least Common Multiple of 95419 and 95429?

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 95419 and 95429 is 9105739751.

LCM(95419,95429) = 9105739751

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Least Common Multiple of 95419 and 95429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95419 and 95429, than apply into the LCM equation.

GCF(95419,95429) = 1
LCM(95419,95429) = ( 95419 × 95429) / 1
LCM(95419,95429) = 9105739751 / 1
LCM(95419,95429) = 9105739751

Least Common Multiple (LCM) of 95419 and 95429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95419 and 95429. First we will calculate the prime factors of 95419 and 95429.

Prime Factorization of 95419

Prime factors of 95419 are 95419. Prime factorization of 95419 in exponential form is:

95419 = 954191

Prime Factorization of 95429

Prime factors of 95429 are 95429. Prime factorization of 95429 in exponential form is:

95429 = 954291

Now multiplying the highest exponent prime factors to calculate the LCM of 95419 and 95429.

LCM(95419,95429) = 954191 × 954291
LCM(95419,95429) = 9105739751