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What is the Least Common Multiple of 98186 and 98202?

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 98186 and 98202 is 4821030786.

LCM(98186,98202) = 4821030786

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Least Common Multiple of 98186 and 98202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98186 and 98202, than apply into the LCM equation.

GCF(98186,98202) = 2
LCM(98186,98202) = ( 98186 × 98202) / 2
LCM(98186,98202) = 9642061572 / 2
LCM(98186,98202) = 4821030786

Least Common Multiple (LCM) of 98186 and 98202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98186 and 98202. First we will calculate the prime factors of 98186 and 98202.

Prime Factorization of 98186

Prime factors of 98186 are 2, 11, 4463. Prime factorization of 98186 in exponential form is:

98186 = 21 × 111 × 44631

Prime Factorization of 98202

Prime factors of 98202 are 2, 3, 13, 1259. Prime factorization of 98202 in exponential form is:

98202 = 21 × 31 × 131 × 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 98186 and 98202.

LCM(98186,98202) = 21 × 111 × 44631 × 31 × 131 × 12591
LCM(98186,98202) = 4821030786