What is the Least Common Multiple of 78847 and 78851?
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 78847 and 78851 is 6217164797.
LCM(78847,78851) = 6217164797
Least Common Multiple of 78847 and 78851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78847 and 78851, than apply into the LCM equation.
GCF(78847,78851) = 1
LCM(78847,78851) = ( 78847 × 78851) / 1
LCM(78847,78851) = 6217164797 / 1
LCM(78847,78851) = 6217164797
Least Common Multiple (LCM) of 78847 and 78851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78847 and 78851. First we will calculate the prime factors of 78847 and 78851.
Prime Factorization of 78847
Prime factors of 78847 are 37, 2131. Prime factorization of 78847 in exponential form is:
78847 = 371 × 21311
Prime Factorization of 78851
Prime factors of 78851 are 29, 2719. Prime factorization of 78851 in exponential form is:
78851 = 291 × 27191
Now multiplying the highest exponent prime factors to calculate the LCM of 78847 and 78851.
LCM(78847,78851) = 371 × 21311 × 291 × 27191
LCM(78847,78851) = 6217164797
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