What is the Least Common Multiple of 80063 and 80080?
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 80063 and 80080 is 6411445040.
LCM(80063,80080) = 6411445040
Least Common Multiple of 80063 and 80080 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80063 and 80080, than apply into the LCM equation.
GCF(80063,80080) = 1
LCM(80063,80080) = ( 80063 × 80080) / 1
LCM(80063,80080) = 6411445040 / 1
LCM(80063,80080) = 6411445040
Least Common Multiple (LCM) of 80063 and 80080 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80063 and 80080. First we will calculate the prime factors of 80063 and 80080.
Prime Factorization of 80063
Prime factors of 80063 are 23, 59. Prime factorization of 80063 in exponential form is:
80063 = 231 × 592
Prime Factorization of 80080
Prime factors of 80080 are 2, 5, 7, 11, 13. Prime factorization of 80080 in exponential form is:
80080 = 24 × 51 × 71 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 80063 and 80080.
LCM(80063,80080) = 231 × 592 × 24 × 51 × 71 × 111 × 131
LCM(80063,80080) = 6411445040
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