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What is the Least Common Multiple of 95623 and 95630?

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 95623 and 95630 is 9144427490.

LCM(95623,95630) = 9144427490

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Least Common Multiple of 95623 and 95630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95623 and 95630, than apply into the LCM equation.

GCF(95623,95630) = 1
LCM(95623,95630) = ( 95623 × 95630) / 1
LCM(95623,95630) = 9144427490 / 1
LCM(95623,95630) = 9144427490

Least Common Multiple (LCM) of 95623 and 95630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95623 and 95630. First we will calculate the prime factors of 95623 and 95630.

Prime Factorization of 95623

Prime factors of 95623 are 11, 8693. Prime factorization of 95623 in exponential form is:

95623 = 111 × 86931

Prime Factorization of 95630

Prime factors of 95630 are 2, 5, 73, 131. Prime factorization of 95630 in exponential form is:

95630 = 21 × 51 × 731 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 95623 and 95630.

LCM(95623,95630) = 111 × 86931 × 21 × 51 × 731 × 1311
LCM(95623,95630) = 9144427490