What is the Least Common Multiple of 98846 and 98855?
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 98846 and 98855 is 9771421330.
LCM(98846,98855) = 9771421330
Least Common Multiple of 98846 and 98855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98846 and 98855, than apply into the LCM equation.
GCF(98846,98855) = 1
LCM(98846,98855) = ( 98846 × 98855) / 1
LCM(98846,98855) = 9771421330 / 1
LCM(98846,98855) = 9771421330
Least Common Multiple (LCM) of 98846 and 98855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98846 and 98855. First we will calculate the prime factors of 98846 and 98855.
Prime Factorization of 98846
Prime factors of 98846 are 2, 11, 4493. Prime factorization of 98846 in exponential form is:
98846 = 21 × 111 × 44931
Prime Factorization of 98855
Prime factors of 98855 are 5, 17, 1163. Prime factorization of 98855 in exponential form is:
98855 = 51 × 171 × 11631
Now multiplying the highest exponent prime factors to calculate the LCM of 98846 and 98855.
LCM(98846,98855) = 21 × 111 × 44931 × 51 × 171 × 11631
LCM(98846,98855) = 9771421330
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