What is the Least Common Multiple of 98222 and 98229?
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 98222 and 98229 is 9648248838.
LCM(98222,98229) = 9648248838
Least Common Multiple of 98222 and 98229 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98222 and 98229, than apply into the LCM equation.
GCF(98222,98229) = 1
LCM(98222,98229) = ( 98222 × 98229) / 1
LCM(98222,98229) = 9648248838 / 1
LCM(98222,98229) = 9648248838
Least Common Multiple (LCM) of 98222 and 98229 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98222 and 98229. First we will calculate the prime factors of 98222 and 98229.
Prime Factorization of 98222
Prime factors of 98222 are 2, 67, 733. Prime factorization of 98222 in exponential form is:
98222 = 21 × 671 × 7331
Prime Factorization of 98229
Prime factors of 98229 are 3, 137, 239. Prime factorization of 98229 in exponential form is:
98229 = 31 × 1371 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 98222 and 98229.
LCM(98222,98229) = 21 × 671 × 7331 × 31 × 1371 × 2391
LCM(98222,98229) = 9648248838
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