What is the Least Common Multiple of 44603 and 44613?
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 44603 and 44613 is 1989873639.
LCM(44603,44613) = 1989873639
Least Common Multiple of 44603 and 44613 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44603 and 44613, than apply into the LCM equation.
GCF(44603,44613) = 1
LCM(44603,44613) = ( 44603 × 44613) / 1
LCM(44603,44613) = 1989873639 / 1
LCM(44603,44613) = 1989873639
Least Common Multiple (LCM) of 44603 and 44613 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44603 and 44613. First we will calculate the prime factors of 44603 and 44613.
Prime Factorization of 44603
Prime factors of 44603 are 13, 47, 73. Prime factorization of 44603 in exponential form is:
44603 = 131 × 471 × 731
Prime Factorization of 44613
Prime factors of 44613 are 3, 4957. Prime factorization of 44613 in exponential form is:
44613 = 32 × 49571
Now multiplying the highest exponent prime factors to calculate the LCM of 44603 and 44613.
LCM(44603,44613) = 131 × 471 × 731 × 32 × 49571
LCM(44603,44613) = 1989873639
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