What is the Least Common Multiple of 81411 and 81415?

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 81411 and 81415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81411 and 81415, than apply into the LCM equation.

GCF(81411,81415) = 1
LCM(81411,81415) = ( 81411 × 81415) / 1
LCM(81411,81415) = 6628076565 / 1
LCM(81411,81415) = 6628076565

Least Common Multiple (LCM) of 81411 and 81415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81411 and 81415. First we will calculate the prime factors of 81411 and 81415.

Prime Factorization of 81411

Prime Factorization of 81415

Now multiplying the highest exponent prime factors to calculate the LCM of 81411 and 81415.

LCM(81411,81415) = 3¹ × 11¹ × 2467¹ × 5¹ × 19¹ × 857¹
LCM(81411,81415) = 6628076565