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What is the Least Common Multiple of 98911 and 98931?

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 98911 and 98931 is 9785364141.

LCM(98911,98931) = 9785364141

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Least Common Multiple of 98911 and 98931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98911 and 98931, than apply into the LCM equation.

GCF(98911,98931) = 1
LCM(98911,98931) = ( 98911 × 98931) / 1
LCM(98911,98931) = 9785364141 / 1
LCM(98911,98931) = 9785364141

Least Common Multiple (LCM) of 98911 and 98931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98911 and 98931. First we will calculate the prime factors of 98911 and 98931.

Prime Factorization of 98911

Prime factors of 98911 are 98911. Prime factorization of 98911 in exponential form is:

98911 = 989111

Prime Factorization of 98931

Prime factors of 98931 are 3, 7, 673. Prime factorization of 98931 in exponential form is:

98931 = 31 × 72 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 98911 and 98931.

LCM(98911,98931) = 989111 × 31 × 72 × 6731
LCM(98911,98931) = 9785364141