What is the Least Common Multiple of 39562 and 39571?
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 39562 and 39571 is 1565507902.
LCM(39562,39571) = 1565507902
Least Common Multiple of 39562 and 39571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39562 and 39571, than apply into the LCM equation.
GCF(39562,39571) = 1
LCM(39562,39571) = ( 39562 × 39571) / 1
LCM(39562,39571) = 1565507902 / 1
LCM(39562,39571) = 1565507902
Least Common Multiple (LCM) of 39562 and 39571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39562 and 39571. First we will calculate the prime factors of 39562 and 39571.
Prime Factorization of 39562
Prime factors of 39562 are 2, 131, 151. Prime factorization of 39562 in exponential form is:
39562 = 21 × 1311 × 1511
Prime Factorization of 39571
Prime factors of 39571 are 7, 5653. Prime factorization of 39571 in exponential form is:
39571 = 71 × 56531
Now multiplying the highest exponent prime factors to calculate the LCM of 39562 and 39571.
LCM(39562,39571) = 21 × 1311 × 1511 × 71 × 56531
LCM(39562,39571) = 1565507902
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