What is the Least Common Multiple of 81429 and 81435?

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 81429 and 81435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81429 and 81435, than apply into the LCM equation.

GCF(81429,81435) = 3
LCM(81429,81435) = ( 81429 × 81435) / 3
LCM(81429,81435) = 6631170615 / 3
LCM(81429,81435) = 2210390205

Least Common Multiple (LCM) of 81429 and 81435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81429 and 81435. First we will calculate the prime factors of 81429 and 81435.

Prime Factorization of 81429

Prime Factorization of 81435

Now multiplying the highest exponent prime factors to calculate the LCM of 81429 and 81435.

LCM(81429,81435) = 3¹ × 27143¹ × 5¹ × 61¹ × 89¹
LCM(81429,81435) = 2210390205