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What is the Least Common Multiple of 95402 and 95421?

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 95402 and 95421 is 9103354242.

LCM(95402,95421) = 9103354242

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Least Common Multiple of 95402 and 95421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95402 and 95421, than apply into the LCM equation.

GCF(95402,95421) = 1
LCM(95402,95421) = ( 95402 × 95421) / 1
LCM(95402,95421) = 9103354242 / 1
LCM(95402,95421) = 9103354242

Least Common Multiple (LCM) of 95402 and 95421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95402 and 95421. First we will calculate the prime factors of 95402 and 95421.

Prime Factorization of 95402

Prime factors of 95402 are 2, 47701. Prime factorization of 95402 in exponential form is:

95402 = 21 × 477011

Prime Factorization of 95421

Prime factors of 95421 are 3, 17, 1871. Prime factorization of 95421 in exponential form is:

95421 = 31 × 171 × 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 95402 and 95421.

LCM(95402,95421) = 21 × 477011 × 31 × 171 × 18711
LCM(95402,95421) = 9103354242