What is the Least Common Multiple of 80615 and 80633?
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 80615 and 80633 is 6500229295.
LCM(80615,80633) = 6500229295
Least Common Multiple of 80615 and 80633 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80615 and 80633, than apply into the LCM equation.
GCF(80615,80633) = 1
LCM(80615,80633) = ( 80615 × 80633) / 1
LCM(80615,80633) = 6500229295 / 1
LCM(80615,80633) = 6500229295
Least Common Multiple (LCM) of 80615 and 80633 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80615 and 80633. First we will calculate the prime factors of 80615 and 80633.
Prime Factorization of 80615
Prime factors of 80615 are 5, 23, 701. Prime factorization of 80615 in exponential form is:
80615 = 51 × 231 × 7011
Prime Factorization of 80633
Prime factors of 80633 are 7, 11519. Prime factorization of 80633 in exponential form is:
80633 = 71 × 115191
Now multiplying the highest exponent prime factors to calculate the LCM of 80615 and 80633.
LCM(80615,80633) = 51 × 231 × 7011 × 71 × 115191
LCM(80615,80633) = 6500229295
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