What is the Least Common Multiple of 82490 and 82506?

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 82490 and 82506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82490 and 82506, than apply into the LCM equation.

GCF(82490,82506) = 2
LCM(82490,82506) = ( 82490 × 82506) / 2
LCM(82490,82506) = 6805919940 / 2
LCM(82490,82506) = 3402959970

Least Common Multiple (LCM) of 82490 and 82506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82490 and 82506. First we will calculate the prime factors of 82490 and 82506.

Prime Factorization of 82490

Prime Factorization of 82506

Now multiplying the highest exponent prime factors to calculate the LCM of 82490 and 82506.

LCM(82490,82506) = 2¹ × 5¹ × 73¹ × 113¹ × 3¹ × 13751¹
LCM(82490,82506) = 3402959970