What is the Least Common Multiple of 80247 and 80265?
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 80247 and 80265 is 2147008485.
LCM(80247,80265) = 2147008485
Least Common Multiple of 80247 and 80265 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80247 and 80265, than apply into the LCM equation.
GCF(80247,80265) = 3
LCM(80247,80265) = ( 80247 × 80265) / 3
LCM(80247,80265) = 6441025455 / 3
LCM(80247,80265) = 2147008485
Least Common Multiple (LCM) of 80247 and 80265 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80247 and 80265. First we will calculate the prime factors of 80247 and 80265.
Prime Factorization of 80247
Prime factors of 80247 are 3, 23, 1163. Prime factorization of 80247 in exponential form is:
80247 = 31 × 231 × 11631
Prime Factorization of 80265
Prime factors of 80265 are 3, 5, 5351. Prime factorization of 80265 in exponential form is:
80265 = 31 × 51 × 53511
Now multiplying the highest exponent prime factors to calculate the LCM of 80247 and 80265.
LCM(80247,80265) = 31 × 231 × 11631 × 51 × 53511
LCM(80247,80265) = 2147008485
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