What is the Least Common Multiple of 86820 and 86828?

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 86820 and 86828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86820 and 86828, than apply into the LCM equation.

GCF(86820,86828) = 4
LCM(86820,86828) = ( 86820 × 86828) / 4
LCM(86820,86828) = 7538406960 / 4
LCM(86820,86828) = 1884601740

Least Common Multiple (LCM) of 86820 and 86828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86820 and 86828. First we will calculate the prime factors of 86820 and 86828.

Prime Factorization of 86820

Prime Factorization of 86828

Now multiplying the highest exponent prime factors to calculate the LCM of 86820 and 86828.

LCM(86820,86828) = 2² × 3¹ × 5¹ × 1447¹ × 7² × 443¹
LCM(86820,86828) = 1884601740