What is the Least Common Multiple of 34977 and 34984?

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 34977 and 34984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34977 and 34984, than apply into the LCM equation.

GCF(34977,34984) = 1
LCM(34977,34984) = ( 34977 × 34984) / 1
LCM(34977,34984) = 1223635368 / 1
LCM(34977,34984) = 1223635368

Least Common Multiple (LCM) of 34977 and 34984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34977 and 34984. First we will calculate the prime factors of 34977 and 34984.

Prime Factorization of 34977

Prime Factorization of 34984

Now multiplying the highest exponent prime factors to calculate the LCM of 34977 and 34984.

LCM(34977,34984) = 3¹ × 89¹ × 131¹ × 2³ × 4373¹
LCM(34977,34984) = 1223635368