What is the Least Common Multiple of 80837 and 80852?
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 80837 and 80852 is 6535833124.
LCM(80837,80852) = 6535833124
Least Common Multiple of 80837 and 80852 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80837 and 80852, than apply into the LCM equation.
GCF(80837,80852) = 1
LCM(80837,80852) = ( 80837 × 80852) / 1
LCM(80837,80852) = 6535833124 / 1
LCM(80837,80852) = 6535833124
Least Common Multiple (LCM) of 80837 and 80852 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80837 and 80852. First we will calculate the prime factors of 80837 and 80852.
Prime Factorization of 80837
Prime factors of 80837 are 229, 353. Prime factorization of 80837 in exponential form is:
80837 = 2291 × 3531
Prime Factorization of 80852
Prime factors of 80852 are 2, 17, 29, 41. Prime factorization of 80852 in exponential form is:
80852 = 22 × 171 × 291 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 80837 and 80852.
LCM(80837,80852) = 2291 × 3531 × 22 × 171 × 291 × 411
LCM(80837,80852) = 6535833124
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