What is the Least Common Multiple of 44303 and 44307?
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 44303 and 44307 is 1962933021.
LCM(44303,44307) = 1962933021
Least Common Multiple of 44303 and 44307 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44303 and 44307, than apply into the LCM equation.
GCF(44303,44307) = 1
LCM(44303,44307) = ( 44303 × 44307) / 1
LCM(44303,44307) = 1962933021 / 1
LCM(44303,44307) = 1962933021
Least Common Multiple (LCM) of 44303 and 44307 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44303 and 44307. First we will calculate the prime factors of 44303 and 44307.
Prime Factorization of 44303
Prime factors of 44303 are 7, 6329. Prime factorization of 44303 in exponential form is:
44303 = 71 × 63291
Prime Factorization of 44307
Prime factors of 44307 are 3, 547. Prime factorization of 44307 in exponential form is:
44307 = 34 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 44303 and 44307.
LCM(44303,44307) = 71 × 63291 × 34 × 5471
LCM(44303,44307) = 1962933021
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