What is the Least Common Multiple of 80052 and 80065?
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 80052 and 80065 is 6409363380.
LCM(80052,80065) = 6409363380
Least Common Multiple of 80052 and 80065 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80052 and 80065, than apply into the LCM equation.
GCF(80052,80065) = 1
LCM(80052,80065) = ( 80052 × 80065) / 1
LCM(80052,80065) = 6409363380 / 1
LCM(80052,80065) = 6409363380
Least Common Multiple (LCM) of 80052 and 80065 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80052 and 80065. First we will calculate the prime factors of 80052 and 80065.
Prime Factorization of 80052
Prime factors of 80052 are 2, 3, 7, 953. Prime factorization of 80052 in exponential form is:
80052 = 22 × 31 × 71 × 9531
Prime Factorization of 80065
Prime factors of 80065 are 5, 67, 239. Prime factorization of 80065 in exponential form is:
80065 = 51 × 671 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 80052 and 80065.
LCM(80052,80065) = 22 × 31 × 71 × 9531 × 51 × 671 × 2391
LCM(80052,80065) = 6409363380
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