What is the Least Common Multiple of 34688 and 34695?

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 34688 and 34695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34688 and 34695, than apply into the LCM equation.

GCF(34688,34695) = 1
LCM(34688,34695) = ( 34688 × 34695) / 1
LCM(34688,34695) = 1203500160 / 1
LCM(34688,34695) = 1203500160

Least Common Multiple (LCM) of 34688 and 34695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34688 and 34695. First we will calculate the prime factors of 34688 and 34695.

Prime Factorization of 34688

Prime Factorization of 34695

Now multiplying the highest exponent prime factors to calculate the LCM of 34688 and 34695.

LCM(34688,34695) = 2⁷ × 271¹ × 3³ × 5¹ × 257¹
LCM(34688,34695) = 1203500160