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What is the Least Common Multiple of 98637 and 98654?

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 98637 and 98654 is 9730934598.

LCM(98637,98654) = 9730934598

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Least Common Multiple of 98637 and 98654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98637 and 98654, than apply into the LCM equation.

GCF(98637,98654) = 1
LCM(98637,98654) = ( 98637 × 98654) / 1
LCM(98637,98654) = 9730934598 / 1
LCM(98637,98654) = 9730934598

Least Common Multiple (LCM) of 98637 and 98654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98637 and 98654. First we will calculate the prime factors of 98637 and 98654.

Prime Factorization of 98637

Prime factors of 98637 are 3, 7, 11, 61. Prime factorization of 98637 in exponential form is:

98637 = 31 × 72 × 111 × 611

Prime Factorization of 98654

Prime factors of 98654 are 2, 107, 461. Prime factorization of 98654 in exponential form is:

98654 = 21 × 1071 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 98637 and 98654.

LCM(98637,98654) = 31 × 72 × 111 × 611 × 21 × 1071 × 4611
LCM(98637,98654) = 9730934598