What is the Least Common Multiple of 98048 and 98060?
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 98048 and 98060 is 2403646720.
LCM(98048,98060) = 2403646720
Least Common Multiple of 98048 and 98060 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98048 and 98060, than apply into the LCM equation.
GCF(98048,98060) = 4
LCM(98048,98060) = ( 98048 × 98060) / 4
LCM(98048,98060) = 9614586880 / 4
LCM(98048,98060) = 2403646720
Least Common Multiple (LCM) of 98048 and 98060 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98048 and 98060. First we will calculate the prime factors of 98048 and 98060.
Prime Factorization of 98048
Prime factors of 98048 are 2, 383. Prime factorization of 98048 in exponential form is:
98048 = 28 × 3831
Prime Factorization of 98060
Prime factors of 98060 are 2, 5, 4903. Prime factorization of 98060 in exponential form is:
98060 = 22 × 51 × 49031
Now multiplying the highest exponent prime factors to calculate the LCM of 98048 and 98060.
LCM(98048,98060) = 28 × 3831 × 51 × 49031
LCM(98048,98060) = 2403646720
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