What is the Least Common Multiple of 81417 and 81429?

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 of 81417 and 81429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81417 and 81429, than apply into the LCM equation.

GCF(81417,81429) = 3
LCM(81417,81429) = ( 81417 × 81429) / 3
LCM(81417,81429) = 6629704893 / 3
LCM(81417,81429) = 2209901631

Least Common Multiple (LCM) of 81417 and 81429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81417 and 81429. First we will calculate the prime factors of 81417 and 81429.

Prime Factorization of 81417

Prime Factorization of 81429

Now multiplying the highest exponent prime factors to calculate the LCM of 81417 and 81429.

LCM(81417,81429) = 3¹ × 7¹ × 3877¹ × 27143¹
LCM(81417,81429) = 2209901631