What is the Least Common Multiple of 98442 and 98446?
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 98442 and 98446 is 4845610566.
LCM(98442,98446) = 4845610566
Least Common Multiple of 98442 and 98446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98442 and 98446, than apply into the LCM equation.
GCF(98442,98446) = 2
LCM(98442,98446) = ( 98442 × 98446) / 2
LCM(98442,98446) = 9691221132 / 2
LCM(98442,98446) = 4845610566
Least Common Multiple (LCM) of 98442 and 98446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98442 and 98446. First we will calculate the prime factors of 98442 and 98446.
Prime Factorization of 98442
Prime factors of 98442 are 2, 3, 1823. Prime factorization of 98442 in exponential form is:
98442 = 21 × 33 × 18231
Prime Factorization of 98446
Prime factors of 98446 are 2, 49223. Prime factorization of 98446 in exponential form is:
98446 = 21 × 492231
Now multiplying the highest exponent prime factors to calculate the LCM of 98442 and 98446.
LCM(98442,98446) = 21 × 33 × 18231 × 492231
LCM(98442,98446) = 4845610566
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