What is the Least Common Multiple of 82949 and 82955?

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 82949 and 82955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82949 and 82955, than apply into the LCM equation.

GCF(82949,82955) = 1
LCM(82949,82955) = ( 82949 × 82955) / 1
LCM(82949,82955) = 6881034295 / 1
LCM(82949,82955) = 6881034295

Least Common Multiple (LCM) of 82949 and 82955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82949 and 82955. First we will calculate the prime factors of 82949 and 82955.

Prime Factorization of 82949

Prime Factorization of 82955

Now multiplying the highest exponent prime factors to calculate the LCM of 82949 and 82955.

LCM(82949,82955) = 109¹ × 761¹ × 5¹ × 47¹ × 353¹
LCM(82949,82955) = 6881034295