What is the Least Common Multiple of 81945 and 81955?

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 81945 and 81955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81945 and 81955, than apply into the LCM equation.

GCF(81945,81955) = 5
LCM(81945,81955) = ( 81945 × 81955) / 5
LCM(81945,81955) = 6715802475 / 5
LCM(81945,81955) = 1343160495

Least Common Multiple (LCM) of 81945 and 81955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81945 and 81955. First we will calculate the prime factors of 81945 and 81955.

Prime Factorization of 81945

Prime Factorization of 81955

Now multiplying the highest exponent prime factors to calculate the LCM of 81945 and 81955.

LCM(81945,81955) = 3³ × 5¹ × 607¹ × 37¹ × 443¹
LCM(81945,81955) = 1343160495