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What is the Least Common Multiple of 81195 and 81203?

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 81195 and 81203 is 6593277585.

LCM(81195,81203) = 6593277585

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Least Common Multiple of 81195 and 81203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81195 and 81203, than apply into the LCM equation.

GCF(81195,81203) = 1
LCM(81195,81203) = ( 81195 × 81203) / 1
LCM(81195,81203) = 6593277585 / 1
LCM(81195,81203) = 6593277585

Least Common Multiple (LCM) of 81195 and 81203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81195 and 81203. First we will calculate the prime factors of 81195 and 81203.

Prime Factorization of 81195

Prime factors of 81195 are 3, 5, 5413. Prime factorization of 81195 in exponential form is:

81195 = 31 × 51 × 54131

Prime Factorization of 81203

Prime factors of 81203 are 81203. Prime factorization of 81203 in exponential form is:

81203 = 812031

Now multiplying the highest exponent prime factors to calculate the LCM of 81195 and 81203.

LCM(81195,81203) = 31 × 51 × 54131 × 812031
LCM(81195,81203) = 6593277585