What is the Least Common Multiple of 34880 and 34896?

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 34880 and 34896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34880 and 34896, than apply into the LCM equation.

GCF(34880,34896) = 16
LCM(34880,34896) = ( 34880 × 34896) / 16
LCM(34880,34896) = 1217172480 / 16
LCM(34880,34896) = 76073280

Least Common Multiple (LCM) of 34880 and 34896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34880 and 34896. First we will calculate the prime factors of 34880 and 34896.

Prime Factorization of 34880

Prime Factorization of 34896

Now multiplying the highest exponent prime factors to calculate the LCM of 34880 and 34896.

LCM(34880,34896) = 2⁶ × 5¹ × 109¹ × 3¹ × 727¹
LCM(34880,34896) = 76073280