What is the Least Common Multiple of 79871 and 79883?
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 79871 and 79883 is 6380335093.
LCM(79871,79883) = 6380335093
Least Common Multiple of 79871 and 79883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79871 and 79883, than apply into the LCM equation.
GCF(79871,79883) = 1
LCM(79871,79883) = ( 79871 × 79883) / 1
LCM(79871,79883) = 6380335093 / 1
LCM(79871,79883) = 6380335093
Least Common Multiple (LCM) of 79871 and 79883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79871 and 79883. First we will calculate the prime factors of 79871 and 79883.
Prime Factorization of 79871
Prime factors of 79871 are 11, 53, 137. Prime factorization of 79871 in exponential form is:
79871 = 111 × 531 × 1371
Prime Factorization of 79883
Prime factors of 79883 are 17, 37, 127. Prime factorization of 79883 in exponential form is:
79883 = 171 × 371 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 79871 and 79883.
LCM(79871,79883) = 111 × 531 × 1371 × 171 × 371 × 1271
LCM(79871,79883) = 6380335093
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