What is the Least Common Multiple of 34896 and 34907?

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 34896 and 34907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34896 and 34907, than apply into the LCM equation.

GCF(34896,34907) = 1
LCM(34896,34907) = ( 34896 × 34907) / 1
LCM(34896,34907) = 1218114672 / 1
LCM(34896,34907) = 1218114672

Least Common Multiple (LCM) of 34896 and 34907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34896 and 34907. First we will calculate the prime factors of 34896 and 34907.

Prime Factorization of 34896

Prime Factorization of 34907

Now multiplying the highest exponent prime factors to calculate the LCM of 34896 and 34907.

LCM(34896,34907) = 2⁴ × 3¹ × 727¹ × 67¹ × 521¹
LCM(34896,34907) = 1218114672