What is the Least Common Multiple of 34968 and 34977?

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 34968 and 34977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34968 and 34977, than apply into the LCM equation.

GCF(34968,34977) = 3
LCM(34968,34977) = ( 34968 × 34977) / 3
LCM(34968,34977) = 1223075736 / 3
LCM(34968,34977) = 407691912

Least Common Multiple (LCM) of 34968 and 34977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34968 and 34977. First we will calculate the prime factors of 34968 and 34977.

Prime Factorization of 34968

Prime Factorization of 34977

Now multiplying the highest exponent prime factors to calculate the LCM of 34968 and 34977.

LCM(34968,34977) = 2³ × 3¹ × 31¹ × 47¹ × 89¹ × 131¹
LCM(34968,34977) = 407691912