What is the Least Common Multiple of 82620 and 82633?

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 82620 and 82633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82620 and 82633, than apply into the LCM equation.

GCF(82620,82633) = 1
LCM(82620,82633) = ( 82620 × 82633) / 1
LCM(82620,82633) = 6827138460 / 1
LCM(82620,82633) = 6827138460

Least Common Multiple (LCM) of 82620 and 82633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82620 and 82633. First we will calculate the prime factors of 82620 and 82633.

Prime Factorization of 82620

Prime Factorization of 82633

Now multiplying the highest exponent prime factors to calculate the LCM of 82620 and 82633.

LCM(82620,82633) = 2² × 3⁵ × 5¹ × 17¹ × 82633¹
LCM(82620,82633) = 6827138460