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What is the Least Common Multiple of 98062 and 98070?

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 98062 and 98070 is 4808470170.

LCM(98062,98070) = 4808470170

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Least Common Multiple of 98062 and 98070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98062 and 98070, than apply into the LCM equation.

GCF(98062,98070) = 2
LCM(98062,98070) = ( 98062 × 98070) / 2
LCM(98062,98070) = 9616940340 / 2
LCM(98062,98070) = 4808470170

Least Common Multiple (LCM) of 98062 and 98070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98062 and 98070. First we will calculate the prime factors of 98062 and 98070.

Prime Factorization of 98062

Prime factors of 98062 are 2, 49031. Prime factorization of 98062 in exponential form is:

98062 = 21 × 490311

Prime Factorization of 98070

Prime factors of 98070 are 2, 3, 5, 7, 467. Prime factorization of 98070 in exponential form is:

98070 = 21 × 31 × 51 × 71 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 98062 and 98070.

LCM(98062,98070) = 21 × 490311 × 31 × 51 × 71 × 4671
LCM(98062,98070) = 4808470170