What is the Least Common Multiple of 98806 and 98810?
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 98806 and 98810 is 4881510430.
LCM(98806,98810) = 4881510430
Least Common Multiple of 98806 and 98810 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98806 and 98810, than apply into the LCM equation.
GCF(98806,98810) = 2
LCM(98806,98810) = ( 98806 × 98810) / 2
LCM(98806,98810) = 9763020860 / 2
LCM(98806,98810) = 4881510430
Least Common Multiple (LCM) of 98806 and 98810 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98806 and 98810. First we will calculate the prime factors of 98806 and 98810.
Prime Factorization of 98806
Prime factors of 98806 are 2, 127, 389. Prime factorization of 98806 in exponential form is:
98806 = 21 × 1271 × 3891
Prime Factorization of 98810
Prime factors of 98810 are 2, 5, 41, 241. Prime factorization of 98810 in exponential form is:
98810 = 21 × 51 × 411 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 98806 and 98810.
LCM(98806,98810) = 21 × 1271 × 3891 × 51 × 411 × 2411
LCM(98806,98810) = 4881510430
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