What is the Least Common Multiple of 44498 and 44502?
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 44498 and 44502 is 990124998.
LCM(44498,44502) = 990124998
Least Common Multiple of 44498 and 44502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44498 and 44502, than apply into the LCM equation.
GCF(44498,44502) = 2
LCM(44498,44502) = ( 44498 × 44502) / 2
LCM(44498,44502) = 1980249996 / 2
LCM(44498,44502) = 990124998
Least Common Multiple (LCM) of 44498 and 44502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44498 and 44502. First we will calculate the prime factors of 44498 and 44502.
Prime Factorization of 44498
Prime factors of 44498 are 2, 19, 1171. Prime factorization of 44498 in exponential form is:
44498 = 21 × 191 × 11711
Prime Factorization of 44502
Prime factors of 44502 are 2, 3, 7417. Prime factorization of 44502 in exponential form is:
44502 = 21 × 31 × 74171
Now multiplying the highest exponent prime factors to calculate the LCM of 44498 and 44502.
LCM(44498,44502) = 21 × 191 × 11711 × 31 × 74171
LCM(44498,44502) = 990124998
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