What is the Least Common Multiple of 80617 and 80623?
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 80617 and 80623 is 6499584391.
LCM(80617,80623) = 6499584391
Least Common Multiple of 80617 and 80623 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80617 and 80623, than apply into the LCM equation.
GCF(80617,80623) = 1
LCM(80617,80623) = ( 80617 × 80623) / 1
LCM(80617,80623) = 6499584391 / 1
LCM(80617,80623) = 6499584391
Least Common Multiple (LCM) of 80617 and 80623 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80617 and 80623. First we will calculate the prime factors of 80617 and 80623.
Prime Factorization of 80617
Prime factors of 80617 are 19, 4243. Prime factorization of 80617 in exponential form is:
80617 = 191 × 42431
Prime Factorization of 80623
Prime factors of 80623 are 37, 2179. Prime factorization of 80623 in exponential form is:
80623 = 371 × 21791
Now multiplying the highest exponent prime factors to calculate the LCM of 80617 and 80623.
LCM(80617,80623) = 191 × 42431 × 371 × 21791
LCM(80617,80623) = 6499584391
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Related Least Common Multiples of 80623
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