What is the Least Common Multiple of 98282 and 98286?
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 98282 and 98286 is 4829872326.
LCM(98282,98286) = 4829872326
Least Common Multiple of 98282 and 98286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98282 and 98286, than apply into the LCM equation.
GCF(98282,98286) = 2
LCM(98282,98286) = ( 98282 × 98286) / 2
LCM(98282,98286) = 9659744652 / 2
LCM(98282,98286) = 4829872326
Least Common Multiple (LCM) of 98282 and 98286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98282 and 98286. First we will calculate the prime factors of 98282 and 98286.
Prime Factorization of 98282
Prime factors of 98282 are 2, 157, 313. Prime factorization of 98282 in exponential form is:
98282 = 21 × 1571 × 3131
Prime Factorization of 98286
Prime factors of 98286 are 2, 3, 16381. Prime factorization of 98286 in exponential form is:
98286 = 21 × 31 × 163811
Now multiplying the highest exponent prime factors to calculate the LCM of 98282 and 98286.
LCM(98282,98286) = 21 × 1571 × 3131 × 31 × 163811
LCM(98282,98286) = 4829872326
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