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What is the Least Common Multiple of 95224 and 95232?

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 95224 and 95232 is 1133546496.

LCM(95224,95232) = 1133546496

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Least Common Multiple of 95224 and 95232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95224 and 95232, than apply into the LCM equation.

GCF(95224,95232) = 8
LCM(95224,95232) = ( 95224 × 95232) / 8
LCM(95224,95232) = 9068371968 / 8
LCM(95224,95232) = 1133546496

Least Common Multiple (LCM) of 95224 and 95232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95224 and 95232. First we will calculate the prime factors of 95224 and 95232.

Prime Factorization of 95224

Prime factors of 95224 are 2, 11903. Prime factorization of 95224 in exponential form is:

95224 = 23 × 119031

Prime Factorization of 95232

Prime factors of 95232 are 2, 3, 31. Prime factorization of 95232 in exponential form is:

95232 = 210 × 31 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 95224 and 95232.

LCM(95224,95232) = 210 × 119031 × 31 × 311
LCM(95224,95232) = 1133546496