What is the Least Common Multiple of 80037 and 80054?
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 80037 and 80054 is 6407281998.
LCM(80037,80054) = 6407281998
Least Common Multiple of 80037 and 80054 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80037 and 80054, than apply into the LCM equation.
GCF(80037,80054) = 1
LCM(80037,80054) = ( 80037 × 80054) / 1
LCM(80037,80054) = 6407281998 / 1
LCM(80037,80054) = 6407281998
Least Common Multiple (LCM) of 80037 and 80054 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80037 and 80054. First we will calculate the prime factors of 80037 and 80054.
Prime Factorization of 80037
Prime factors of 80037 are 3, 8893. Prime factorization of 80037 in exponential form is:
80037 = 32 × 88931
Prime Factorization of 80054
Prime factors of 80054 are 2, 13, 3079. Prime factorization of 80054 in exponential form is:
80054 = 21 × 131 × 30791
Now multiplying the highest exponent prime factors to calculate the LCM of 80037 and 80054.
LCM(80037,80054) = 32 × 88931 × 21 × 131 × 30791
LCM(80037,80054) = 6407281998
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