What is the Least Common Multiple of 80949 and 80955?

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 80949 and 80955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80949 and 80955, than apply into the LCM equation.

GCF(80949,80955) = 3
LCM(80949,80955) = ( 80949 × 80955) / 3
LCM(80949,80955) = 6553226295 / 3
LCM(80949,80955) = 2184408765

Least Common Multiple (LCM) of 80949 and 80955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80949 and 80955. First we will calculate the prime factors of 80949 and 80955.

Prime Factorization of 80949

Prime Factorization of 80955

Now multiplying the highest exponent prime factors to calculate the LCM of 80949 and 80955.

LCM(80949,80955) = 3² × 11² × 223¹ × 5¹ × 7¹ × 257¹
LCM(80949,80955) = 2184408765