What is the Least Common Multiple of 44435 and 44442?
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 44435 and 44442 is 1974780270.
LCM(44435,44442) = 1974780270
Least Common Multiple of 44435 and 44442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44435 and 44442, than apply into the LCM equation.
GCF(44435,44442) = 1
LCM(44435,44442) = ( 44435 × 44442) / 1
LCM(44435,44442) = 1974780270 / 1
LCM(44435,44442) = 1974780270
Least Common Multiple (LCM) of 44435 and 44442 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44435 and 44442. First we will calculate the prime factors of 44435 and 44442.
Prime Factorization of 44435
Prime factors of 44435 are 5, 8887. Prime factorization of 44435 in exponential form is:
44435 = 51 × 88871
Prime Factorization of 44442
Prime factors of 44442 are 2, 3, 823. Prime factorization of 44442 in exponential form is:
44442 = 21 × 33 × 8231
Now multiplying the highest exponent prime factors to calculate the LCM of 44435 and 44442.
LCM(44435,44442) = 51 × 88871 × 21 × 33 × 8231
LCM(44435,44442) = 1974780270
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