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What is the Least Common Multiple of 95610 and 95621?

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 95610 and 95621 is 9142323810.

LCM(95610,95621) = 9142323810

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Least Common Multiple of 95610 and 95621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95610 and 95621, than apply into the LCM equation.

GCF(95610,95621) = 1
LCM(95610,95621) = ( 95610 × 95621) / 1
LCM(95610,95621) = 9142323810 / 1
LCM(95610,95621) = 9142323810

Least Common Multiple (LCM) of 95610 and 95621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95610 and 95621. First we will calculate the prime factors of 95610 and 95621.

Prime Factorization of 95610

Prime factors of 95610 are 2, 3, 5, 3187. Prime factorization of 95610 in exponential form is:

95610 = 21 × 31 × 51 × 31871

Prime Factorization of 95621

Prime factors of 95621 are 95621. Prime factorization of 95621 in exponential form is:

95621 = 956211

Now multiplying the highest exponent prime factors to calculate the LCM of 95610 and 95621.

LCM(95610,95621) = 21 × 31 × 51 × 31871 × 956211
LCM(95610,95621) = 9142323810