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What is the Least Common Multiple of 98021 and 98037?

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 98021 and 98037 is 9609684777.

LCM(98021,98037) = 9609684777

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Least Common Multiple of 98021 and 98037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98021 and 98037, than apply into the LCM equation.

GCF(98021,98037) = 1
LCM(98021,98037) = ( 98021 × 98037) / 1
LCM(98021,98037) = 9609684777 / 1
LCM(98021,98037) = 9609684777

Least Common Multiple (LCM) of 98021 and 98037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98021 and 98037. First we will calculate the prime factors of 98021 and 98037.

Prime Factorization of 98021

Prime factors of 98021 are 7, 11, 19, 67. Prime factorization of 98021 in exponential form is:

98021 = 71 × 111 × 191 × 671

Prime Factorization of 98037

Prime factors of 98037 are 3, 3631. Prime factorization of 98037 in exponential form is:

98037 = 33 × 36311

Now multiplying the highest exponent prime factors to calculate the LCM of 98021 and 98037.

LCM(98021,98037) = 71 × 111 × 191 × 671 × 33 × 36311
LCM(98021,98037) = 9609684777