What is the Least Common Multiple of 98222 and 98242?
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 98242 is 4824762862.
LCM(98222,98242) = 4824762862
Least Common Multiple of 98222 and 98242 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 98242, than apply into the LCM equation.
GCF(98222,98242) = 2
LCM(98222,98242) = ( 98222 × 98242) / 2
LCM(98222,98242) = 9649525724 / 2
LCM(98222,98242) = 4824762862
Least Common Multiple (LCM) of 98222 and 98242 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98222 and 98242. First we will calculate the prime factors of 98222 and 98242.
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 98242
Prime factors of 98242 are 2, 49121. Prime factorization of 98242 in exponential form is:
98242 = 21 × 491211
Now multiplying the highest exponent prime factors to calculate the LCM of 98222 and 98242.
LCM(98222,98242) = 21 × 671 × 7331 × 491211
LCM(98222,98242) = 4824762862
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