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What is the Least Common Multiple of 95532 and 95548?

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 95532 and 95548 is 2281972884.

LCM(95532,95548) = 2281972884

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Least Common Multiple of 95532 and 95548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95532 and 95548, than apply into the LCM equation.

GCF(95532,95548) = 4
LCM(95532,95548) = ( 95532 × 95548) / 4
LCM(95532,95548) = 9127891536 / 4
LCM(95532,95548) = 2281972884

Least Common Multiple (LCM) of 95532 and 95548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95532 and 95548. First we will calculate the prime factors of 95532 and 95548.

Prime Factorization of 95532

Prime factors of 95532 are 2, 3, 19, 419. Prime factorization of 95532 in exponential form is:

95532 = 22 × 31 × 191 × 4191

Prime Factorization of 95548

Prime factors of 95548 are 2, 23887. Prime factorization of 95548 in exponential form is:

95548 = 22 × 238871

Now multiplying the highest exponent prime factors to calculate the LCM of 95532 and 95548.

LCM(95532,95548) = 22 × 31 × 191 × 4191 × 238871
LCM(95532,95548) = 2281972884