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What is the Least Common Multiple of 95961 and 95971?

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 95961 and 95971 is 9209473131.

LCM(95961,95971) = 9209473131

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Least Common Multiple of 95961 and 95971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95961 and 95971, than apply into the LCM equation.

GCF(95961,95971) = 1
LCM(95961,95971) = ( 95961 × 95971) / 1
LCM(95961,95971) = 9209473131 / 1
LCM(95961,95971) = 9209473131

Least Common Multiple (LCM) of 95961 and 95971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95961 and 95971. First we will calculate the prime factors of 95961 and 95971.

Prime Factorization of 95961

Prime factors of 95961 are 3, 29, 1103. Prime factorization of 95961 in exponential form is:

95961 = 31 × 291 × 11031

Prime Factorization of 95971

Prime factors of 95971 are 95971. Prime factorization of 95971 in exponential form is:

95971 = 959711

Now multiplying the highest exponent prime factors to calculate the LCM of 95961 and 95971.

LCM(95961,95971) = 31 × 291 × 11031 × 959711
LCM(95961,95971) = 9209473131