What is the Least Common Multiple of 82880 and 82888?

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 82880 and 82888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82880 and 82888, than apply into the LCM equation.

GCF(82880,82888) = 8
LCM(82880,82888) = ( 82880 × 82888) / 8
LCM(82880,82888) = 6869757440 / 8
LCM(82880,82888) = 858719680

Least Common Multiple (LCM) of 82880 and 82888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82880 and 82888. First we will calculate the prime factors of 82880 and 82888.

Prime Factorization of 82880

Prime Factorization of 82888

Now multiplying the highest exponent prime factors to calculate the LCM of 82880 and 82888.

LCM(82880,82888) = 2⁶ × 5¹ × 7¹ × 37¹ × 13¹ × 797¹
LCM(82880,82888) = 858719680