What is the Least Common Multiple of 80234 and 80239?
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 80234 and 80239 is 6437895926.
LCM(80234,80239) = 6437895926
Least Common Multiple of 80234 and 80239 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80234 and 80239, than apply into the LCM equation.
GCF(80234,80239) = 1
LCM(80234,80239) = ( 80234 × 80239) / 1
LCM(80234,80239) = 6437895926 / 1
LCM(80234,80239) = 6437895926
Least Common Multiple (LCM) of 80234 and 80239 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80234 and 80239. First we will calculate the prime factors of 80234 and 80239.
Prime Factorization of 80234
Prime factors of 80234 are 2, 7, 11, 521. Prime factorization of 80234 in exponential form is:
80234 = 21 × 71 × 111 × 5211
Prime Factorization of 80239
Prime factors of 80239 are 80239. Prime factorization of 80239 in exponential form is:
80239 = 802391
Now multiplying the highest exponent prime factors to calculate the LCM of 80234 and 80239.
LCM(80234,80239) = 21 × 71 × 111 × 5211 × 802391
LCM(80234,80239) = 6437895926
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