What is the Least Common Multiple of 80237 and 80246?
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 80237 and 80246 is 6438698302.
LCM(80237,80246) = 6438698302
Least Common Multiple of 80237 and 80246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80237 and 80246, than apply into the LCM equation.
GCF(80237,80246) = 1
LCM(80237,80246) = ( 80237 × 80246) / 1
LCM(80237,80246) = 6438698302 / 1
LCM(80237,80246) = 6438698302
Least Common Multiple (LCM) of 80237 and 80246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80237 and 80246. First we will calculate the prime factors of 80237 and 80246.
Prime Factorization of 80237
Prime factors of 80237 are 19, 41, 103. Prime factorization of 80237 in exponential form is:
80237 = 191 × 411 × 1031
Prime Factorization of 80246
Prime factors of 80246 are 2, 40123. Prime factorization of 80246 in exponential form is:
80246 = 21 × 401231
Now multiplying the highest exponent prime factors to calculate the LCM of 80237 and 80246.
LCM(80237,80246) = 191 × 411 × 1031 × 21 × 401231
LCM(80237,80246) = 6438698302
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