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What is the Least Common Multiple of 98488 and 98492?

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 98488 and 98492 is 2425070024.

LCM(98488,98492) = 2425070024

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Least Common Multiple of 98488 and 98492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98488 and 98492, than apply into the LCM equation.

GCF(98488,98492) = 4
LCM(98488,98492) = ( 98488 × 98492) / 4
LCM(98488,98492) = 9700280096 / 4
LCM(98488,98492) = 2425070024

Least Common Multiple (LCM) of 98488 and 98492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98488 and 98492. First we will calculate the prime factors of 98488 and 98492.

Prime Factorization of 98488

Prime factors of 98488 are 2, 13, 947. Prime factorization of 98488 in exponential form is:

98488 = 23 × 131 × 9471

Prime Factorization of 98492

Prime factors of 98492 are 2, 24623. Prime factorization of 98492 in exponential form is:

98492 = 22 × 246231

Now multiplying the highest exponent prime factors to calculate the LCM of 98488 and 98492.

LCM(98488,98492) = 23 × 131 × 9471 × 246231
LCM(98488,98492) = 2425070024