What is the Least Common Multiple of 79273 and 79285?
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 79273 and 79285 is 6285159805.
LCM(79273,79285) = 6285159805
Least Common Multiple of 79273 and 79285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79273 and 79285, than apply into the LCM equation.
GCF(79273,79285) = 1
LCM(79273,79285) = ( 79273 × 79285) / 1
LCM(79273,79285) = 6285159805 / 1
LCM(79273,79285) = 6285159805
Least Common Multiple (LCM) of 79273 and 79285 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79273 and 79285. First we will calculate the prime factors of 79273 and 79285.
Prime Factorization of 79273
Prime factors of 79273 are 79273. Prime factorization of 79273 in exponential form is:
79273 = 792731
Prime Factorization of 79285
Prime factors of 79285 are 5, 101, 157. Prime factorization of 79285 in exponential form is:
79285 = 51 × 1011 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 79273 and 79285.
LCM(79273,79285) = 792731 × 51 × 1011 × 1571
LCM(79273,79285) = 6285159805
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