What is the Least Common Multiple of 80188 and 80202?
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 80188 and 80202 is 3215618988.
LCM(80188,80202) = 3215618988
Least Common Multiple of 80188 and 80202 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80188 and 80202, than apply into the LCM equation.
GCF(80188,80202) = 2
LCM(80188,80202) = ( 80188 × 80202) / 2
LCM(80188,80202) = 6431237976 / 2
LCM(80188,80202) = 3215618988
Least Common Multiple (LCM) of 80188 and 80202 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80188 and 80202. First we will calculate the prime factors of 80188 and 80202.
Prime Factorization of 80188
Prime factors of 80188 are 2, 20047. Prime factorization of 80188 in exponential form is:
80188 = 22 × 200471
Prime Factorization of 80202
Prime factors of 80202 are 2, 3, 13367. Prime factorization of 80202 in exponential form is:
80202 = 21 × 31 × 133671
Now multiplying the highest exponent prime factors to calculate the LCM of 80188 and 80202.
LCM(80188,80202) = 22 × 200471 × 31 × 133671
LCM(80188,80202) = 3215618988
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