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What is the Least Common Multiple of 95220 and 95229?

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 95220 and 95229 is 1007522820.

LCM(95220,95229) = 1007522820

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Least Common Multiple of 95220 and 95229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95220 and 95229, than apply into the LCM equation.

GCF(95220,95229) = 9
LCM(95220,95229) = ( 95220 × 95229) / 9
LCM(95220,95229) = 9067705380 / 9
LCM(95220,95229) = 1007522820

Least Common Multiple (LCM) of 95220 and 95229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95220 and 95229. First we will calculate the prime factors of 95220 and 95229.

Prime Factorization of 95220

Prime factors of 95220 are 2, 3, 5, 23. Prime factorization of 95220 in exponential form is:

95220 = 22 × 32 × 51 × 232

Prime Factorization of 95229

Prime factors of 95229 are 3, 3527. Prime factorization of 95229 in exponential form is:

95229 = 33 × 35271

Now multiplying the highest exponent prime factors to calculate the LCM of 95220 and 95229.

LCM(95220,95229) = 22 × 33 × 51 × 232 × 35271
LCM(95220,95229) = 1007522820