What is the Least Common Multiple of 34977 and 34996?

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 34996 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 34996, than apply into the LCM equation.

GCF(34977,34996) = 1
LCM(34977,34996) = ( 34977 × 34996) / 1
LCM(34977,34996) = 1224055092 / 1
LCM(34977,34996) = 1224055092

Least Common Multiple (LCM) of 34977 and 34996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34977 and 34996. First we will calculate the prime factors of 34977 and 34996.

Prime Factorization of 34977

Prime Factorization of 34996

Now multiplying the highest exponent prime factors to calculate the LCM of 34977 and 34996.

LCM(34977,34996) = 3¹ × 89¹ × 131¹ × 2² × 13¹ × 673¹
LCM(34977,34996) = 1224055092