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What is the Least Common Multiple of 90197 and 90203?

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 90197 and 90203 is 8136039991.

LCM(90197,90203) = 8136039991

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Least Common Multiple of 90197 and 90203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90197 and 90203, than apply into the LCM equation.

GCF(90197,90203) = 1
LCM(90197,90203) = ( 90197 × 90203) / 1
LCM(90197,90203) = 8136039991 / 1
LCM(90197,90203) = 8136039991

Least Common Multiple (LCM) of 90197 and 90203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90197 and 90203. First we will calculate the prime factors of 90197 and 90203.

Prime Factorization of 90197

Prime factors of 90197 are 90197. Prime factorization of 90197 in exponential form is:

90197 = 901971

Prime Factorization of 90203

Prime factors of 90203 are 90203. Prime factorization of 90203 in exponential form is:

90203 = 902031

Now multiplying the highest exponent prime factors to calculate the LCM of 90197 and 90203.

LCM(90197,90203) = 901971 × 902031
LCM(90197,90203) = 8136039991