What is the Least Common Multiple of 80631 and 80639?
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 80631 and 80639 is 6502003209.
LCM(80631,80639) = 6502003209
Least Common Multiple of 80631 and 80639 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80631 and 80639, than apply into the LCM equation.
GCF(80631,80639) = 1
LCM(80631,80639) = ( 80631 × 80639) / 1
LCM(80631,80639) = 6502003209 / 1
LCM(80631,80639) = 6502003209
Least Common Multiple (LCM) of 80631 and 80639 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80631 and 80639. First we will calculate the prime factors of 80631 and 80639.
Prime Factorization of 80631
Prime factors of 80631 are 3, 17, 31. Prime factorization of 80631 in exponential form is:
80631 = 32 × 172 × 311
Prime Factorization of 80639
Prime factors of 80639 are 13, 6203. Prime factorization of 80639 in exponential form is:
80639 = 131 × 62031
Now multiplying the highest exponent prime factors to calculate the LCM of 80631 and 80639.
LCM(80631,80639) = 32 × 172 × 311 × 131 × 62031
LCM(80631,80639) = 6502003209
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