What is the Least Common Multiple of 20495 and 20501?
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 20495 and 20501 is 420167995.
LCM(20495,20501) = 420167995
Least Common Multiple of 20495 and 20501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20495 and 20501, than apply into the LCM equation.
GCF(20495,20501) = 1
LCM(20495,20501) = ( 20495 × 20501) / 1
LCM(20495,20501) = 420167995 / 1
LCM(20495,20501) = 420167995
Least Common Multiple (LCM) of 20495 and 20501 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20495 and 20501. First we will calculate the prime factors of 20495 and 20501.
Prime Factorization of 20495
Prime factors of 20495 are 5, 4099. Prime factorization of 20495 in exponential form is:
20495 = 51 × 40991
Prime Factorization of 20501
Prime factors of 20501 are 13, 19, 83. Prime factorization of 20501 in exponential form is:
20501 = 131 × 191 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 20495 and 20501.
LCM(20495,20501) = 51 × 40991 × 131 × 191 × 831
LCM(20495,20501) = 420167995
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