What is the Least Common Multiple of 79217 and 79232?
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 79217 and 79232 is 6276521344.
LCM(79217,79232) = 6276521344
Least Common Multiple of 79217 and 79232 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79217 and 79232, than apply into the LCM equation.
GCF(79217,79232) = 1
LCM(79217,79232) = ( 79217 × 79232) / 1
LCM(79217,79232) = 6276521344 / 1
LCM(79217,79232) = 6276521344
Least Common Multiple (LCM) of 79217 and 79232 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79217 and 79232. First we will calculate the prime factors of 79217 and 79232.
Prime Factorization of 79217
Prime factors of 79217 are 37, 2141. Prime factorization of 79217 in exponential form is:
79217 = 371 × 21411
Prime Factorization of 79232
Prime factors of 79232 are 2, 619. Prime factorization of 79232 in exponential form is:
79232 = 27 × 6191
Now multiplying the highest exponent prime factors to calculate the LCM of 79217 and 79232.
LCM(79217,79232) = 371 × 21411 × 27 × 6191
LCM(79217,79232) = 6276521344
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