What is the Least Common Multiple of 34880 and 34895?

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 34895 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 34895, than apply into the LCM equation.

GCF(34880,34895) = 5
LCM(34880,34895) = ( 34880 × 34895) / 5
LCM(34880,34895) = 1217137600 / 5
LCM(34880,34895) = 243427520

Least Common Multiple (LCM) of 34880 and 34895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34880 and 34895. First we will calculate the prime factors of 34880 and 34895.

Prime Factorization of 34880

Prime Factorization of 34895

Now multiplying the highest exponent prime factors to calculate the LCM of 34880 and 34895.

LCM(34880,34895) = 2⁶ × 5¹ × 109¹ × 7¹ × 997¹
LCM(34880,34895) = 243427520