What is the Least Common Multiple of 81415 and 81427?

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 81415 and 81427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81415 and 81427, than apply into the LCM equation.

GCF(81415,81427) = 1
LCM(81415,81427) = ( 81415 × 81427) / 1
LCM(81415,81427) = 6629379205 / 1
LCM(81415,81427) = 6629379205

Least Common Multiple (LCM) of 81415 and 81427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81415 and 81427. First we will calculate the prime factors of 81415 and 81427.

Prime Factorization of 81415

Prime Factorization of 81427

Now multiplying the highest exponent prime factors to calculate the LCM of 81415 and 81427.

LCM(81415,81427) = 5¹ × 19¹ × 857¹ × 107¹ × 761¹
LCM(81415,81427) = 6629379205