What is the Least Common Multiple of 80041 and 80050?
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 80041 and 80050 is 6407282050.
LCM(80041,80050) = 6407282050
Least Common Multiple of 80041 and 80050 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80041 and 80050, than apply into the LCM equation.
GCF(80041,80050) = 1
LCM(80041,80050) = ( 80041 × 80050) / 1
LCM(80041,80050) = 6407282050 / 1
LCM(80041,80050) = 6407282050
Least Common Multiple (LCM) of 80041 and 80050 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80041 and 80050. First we will calculate the prime factors of 80041 and 80050.
Prime Factorization of 80041
Prime factors of 80041 are 13, 47, 131. Prime factorization of 80041 in exponential form is:
80041 = 131 × 471 × 1311
Prime Factorization of 80050
Prime factors of 80050 are 2, 5, 1601. Prime factorization of 80050 in exponential form is:
80050 = 21 × 52 × 16011
Now multiplying the highest exponent prime factors to calculate the LCM of 80041 and 80050.
LCM(80041,80050) = 131 × 471 × 1311 × 21 × 52 × 16011
LCM(80041,80050) = 6407282050
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