What is the Least Common Multiple of 34695 and 34712?

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 34695 and 34712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34695 and 34712, than apply into the LCM equation.

GCF(34695,34712) = 1
LCM(34695,34712) = ( 34695 × 34712) / 1
LCM(34695,34712) = 1204332840 / 1
LCM(34695,34712) = 1204332840

Least Common Multiple (LCM) of 34695 and 34712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34695 and 34712. First we will calculate the prime factors of 34695 and 34712.

Prime Factorization of 34695

Prime Factorization of 34712

Now multiplying the highest exponent prime factors to calculate the LCM of 34695 and 34712.

LCM(34695,34712) = 3³ × 5¹ × 257¹ × 2³ × 4339¹
LCM(34695,34712) = 1204332840