What is the Least Common Multiple of 80488 and 80501?
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 80488 and 80501 is 6479364488.
LCM(80488,80501) = 6479364488
Least Common Multiple of 80488 and 80501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80488 and 80501, than apply into the LCM equation.
GCF(80488,80501) = 1
LCM(80488,80501) = ( 80488 × 80501) / 1
LCM(80488,80501) = 6479364488 / 1
LCM(80488,80501) = 6479364488
Least Common Multiple (LCM) of 80488 and 80501 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80488 and 80501. First we will calculate the prime factors of 80488 and 80501.
Prime Factorization of 80488
Prime factors of 80488 are 2, 10061. Prime factorization of 80488 in exponential form is:
80488 = 23 × 100611
Prime Factorization of 80501
Prime factors of 80501 are 79, 1019. Prime factorization of 80501 in exponential form is:
80501 = 791 × 10191
Now multiplying the highest exponent prime factors to calculate the LCM of 80488 and 80501.
LCM(80488,80501) = 23 × 100611 × 791 × 10191
LCM(80488,80501) = 6479364488
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