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What is the Least Common Multiple of 98630 and 98637?

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 98630 and 98637 is 1389795330.

LCM(98630,98637) = 1389795330

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Least Common Multiple of 98630 and 98637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98630 and 98637, than apply into the LCM equation.

GCF(98630,98637) = 7
LCM(98630,98637) = ( 98630 × 98637) / 7
LCM(98630,98637) = 9728567310 / 7
LCM(98630,98637) = 1389795330

Least Common Multiple (LCM) of 98630 and 98637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98630 and 98637. First we will calculate the prime factors of 98630 and 98637.

Prime Factorization of 98630

Prime factors of 98630 are 2, 5, 7, 1409. Prime factorization of 98630 in exponential form is:

98630 = 21 × 51 × 71 × 14091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 98630 and 98637.

LCM(98630,98637) = 21 × 51 × 72 × 14091 × 31 × 111 × 611
LCM(98630,98637) = 1389795330