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What is the Least Common Multiple of 95071 and 95090?

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 95071 and 95090 is 9040301390.

LCM(95071,95090) = 9040301390

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Least Common Multiple of 95071 and 95090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95071 and 95090, than apply into the LCM equation.

GCF(95071,95090) = 1
LCM(95071,95090) = ( 95071 × 95090) / 1
LCM(95071,95090) = 9040301390 / 1
LCM(95071,95090) = 9040301390

Least Common Multiple (LCM) of 95071 and 95090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95071 and 95090. First we will calculate the prime factors of 95071 and 95090.

Prime Factorization of 95071

Prime factors of 95071 are 95071. Prime factorization of 95071 in exponential form is:

95071 = 950711

Prime Factorization of 95090

Prime factors of 95090 are 2, 5, 37, 257. Prime factorization of 95090 in exponential form is:

95090 = 21 × 51 × 371 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 95071 and 95090.

LCM(95071,95090) = 950711 × 21 × 51 × 371 × 2571
LCM(95071,95090) = 9040301390