What is the Least Common Multiple of 80227 and 80236?
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 80227 and 80236 is 6437093572.
LCM(80227,80236) = 6437093572
Least Common Multiple of 80227 and 80236 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80227 and 80236, than apply into the LCM equation.
GCF(80227,80236) = 1
LCM(80227,80236) = ( 80227 × 80236) / 1
LCM(80227,80236) = 6437093572 / 1
LCM(80227,80236) = 6437093572
Least Common Multiple (LCM) of 80227 and 80236 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80227 and 80236. First we will calculate the prime factors of 80227 and 80236.
Prime Factorization of 80227
Prime factors of 80227 are 7, 73, 157. Prime factorization of 80227 in exponential form is:
80227 = 71 × 731 × 1571
Prime Factorization of 80236
Prime factors of 80236 are 2, 13, 1543. Prime factorization of 80236 in exponential form is:
80236 = 22 × 131 × 15431
Now multiplying the highest exponent prime factors to calculate the LCM of 80227 and 80236.
LCM(80227,80236) = 71 × 731 × 1571 × 22 × 131 × 15431
LCM(80227,80236) = 6437093572
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