What is the Least Common Multiple of 44477 and 44483?
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 44477 and 44483 is 1978470391.
LCM(44477,44483) = 1978470391
Least Common Multiple of 44477 and 44483 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44477 and 44483, than apply into the LCM equation.
GCF(44477,44483) = 1
LCM(44477,44483) = ( 44477 × 44483) / 1
LCM(44477,44483) = 1978470391 / 1
LCM(44477,44483) = 1978470391
Least Common Multiple (LCM) of 44477 and 44483 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44477 and 44483. First we will calculate the prime factors of 44477 and 44483.
Prime Factorization of 44477
Prime factors of 44477 are 79, 563. Prime factorization of 44477 in exponential form is:
44477 = 791 × 5631
Prime Factorization of 44483
Prime factors of 44483 are 44483. Prime factorization of 44483 in exponential form is:
44483 = 444831
Now multiplying the highest exponent prime factors to calculate the LCM of 44477 and 44483.
LCM(44477,44483) = 791 × 5631 × 444831
LCM(44477,44483) = 1978470391
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