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What is the Least Common Multiple of 98037 and 98054?

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 98037 and 98054 is 9612919998.

LCM(98037,98054) = 9612919998

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Least Common Multiple of 98037 and 98054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98037 and 98054, than apply into the LCM equation.

GCF(98037,98054) = 1
LCM(98037,98054) = ( 98037 × 98054) / 1
LCM(98037,98054) = 9612919998 / 1
LCM(98037,98054) = 9612919998

Least Common Multiple (LCM) of 98037 and 98054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98037 and 98054. First we will calculate the prime factors of 98037 and 98054.

Prime Factorization of 98037

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

98037 = 33 × 36311

Prime Factorization of 98054

Prime factors of 98054 are 2, 11, 4457. Prime factorization of 98054 in exponential form is:

98054 = 21 × 111 × 44571

Now multiplying the highest exponent prime factors to calculate the LCM of 98037 and 98054.

LCM(98037,98054) = 33 × 36311 × 21 × 111 × 44571
LCM(98037,98054) = 9612919998