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What is the Least Common Multiple of 98152 and 98162?

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 98152 and 98162 is 4817398312.

LCM(98152,98162) = 4817398312

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Least Common Multiple of 98152 and 98162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98152 and 98162, than apply into the LCM equation.

GCF(98152,98162) = 2
LCM(98152,98162) = ( 98152 × 98162) / 2
LCM(98152,98162) = 9634796624 / 2
LCM(98152,98162) = 4817398312

Least Common Multiple (LCM) of 98152 and 98162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98152 and 98162. First we will calculate the prime factors of 98152 and 98162.

Prime Factorization of 98152

Prime factors of 98152 are 2, 12269. Prime factorization of 98152 in exponential form is:

98152 = 23 × 122691

Prime Factorization of 98162

Prime factors of 98162 are 2, 49081. Prime factorization of 98162 in exponential form is:

98162 = 21 × 490811

Now multiplying the highest exponent prime factors to calculate the LCM of 98152 and 98162.

LCM(98152,98162) = 23 × 122691 × 490811
LCM(98152,98162) = 4817398312