What is the Least Common Multiple of 34977 and 34989?

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 34989 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 34989, than apply into the LCM equation.

GCF(34977,34989) = 3
LCM(34977,34989) = ( 34977 × 34989) / 3
LCM(34977,34989) = 1223810253 / 3
LCM(34977,34989) = 407936751

Least Common Multiple (LCM) of 34977 and 34989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34977 and 34989. First we will calculate the prime factors of 34977 and 34989.

Prime Factorization of 34977

Prime Factorization of 34989

Now multiplying the highest exponent prime factors to calculate the LCM of 34977 and 34989.

LCM(34977,34989) = 3¹ × 89¹ × 131¹ × 107¹ × 109¹
LCM(34977,34989) = 407936751