What is the Least Common Multiple of 82864 and 82884?

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 82864 and 82884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82864 and 82884, than apply into the LCM equation.

GCF(82864,82884) = 4
LCM(82864,82884) = ( 82864 × 82884) / 4
LCM(82864,82884) = 6868099776 / 4
LCM(82864,82884) = 1717024944

Least Common Multiple (LCM) of 82864 and 82884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82864 and 82884. First we will calculate the prime factors of 82864 and 82884.

Prime Factorization of 82864

Prime Factorization of 82884

Now multiplying the highest exponent prime factors to calculate the LCM of 82864 and 82884.

LCM(82864,82884) = 2⁴ × 5179¹ × 3¹ × 6907¹
LCM(82864,82884) = 1717024944