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What is the Least Common Multiple of 95671 and 95678?

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 95671 and 95678 is 9153609938.

LCM(95671,95678) = 9153609938

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Least Common Multiple of 95671 and 95678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95671 and 95678, than apply into the LCM equation.

GCF(95671,95678) = 1
LCM(95671,95678) = ( 95671 × 95678) / 1
LCM(95671,95678) = 9153609938 / 1
LCM(95671,95678) = 9153609938

Least Common Multiple (LCM) of 95671 and 95678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95671 and 95678. First we will calculate the prime factors of 95671 and 95678.

Prime Factorization of 95671

Prime factors of 95671 are 29, 3299. Prime factorization of 95671 in exponential form is:

95671 = 291 × 32991

Prime Factorization of 95678

Prime factors of 95678 are 2, 11, 4349. Prime factorization of 95678 in exponential form is:

95678 = 21 × 111 × 43491

Now multiplying the highest exponent prime factors to calculate the LCM of 95671 and 95678.

LCM(95671,95678) = 291 × 32991 × 21 × 111 × 43491
LCM(95671,95678) = 9153609938