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What is the Least Common Multiple of 95621 and 95632?

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 95621 and 95632 is 9144427472.

LCM(95621,95632) = 9144427472

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Least Common Multiple of 95621 and 95632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95621 and 95632, than apply into the LCM equation.

GCF(95621,95632) = 1
LCM(95621,95632) = ( 95621 × 95632) / 1
LCM(95621,95632) = 9144427472 / 1
LCM(95621,95632) = 9144427472

Least Common Multiple (LCM) of 95621 and 95632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95621 and 95632. First we will calculate the prime factors of 95621 and 95632.

Prime Factorization of 95621

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

95621 = 956211

Prime Factorization of 95632

Prime factors of 95632 are 2, 43, 139. Prime factorization of 95632 in exponential form is:

95632 = 24 × 431 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 95621 and 95632.

LCM(95621,95632) = 956211 × 24 × 431 × 1391
LCM(95621,95632) = 9144427472