What is the Least Common Multiple of 82420 and 82437?

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 82420 and 82437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82420 and 82437, than apply into the LCM equation.

GCF(82420,82437) = 1
LCM(82420,82437) = ( 82420 × 82437) / 1
LCM(82420,82437) = 6794457540 / 1
LCM(82420,82437) = 6794457540

Least Common Multiple (LCM) of 82420 and 82437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82420 and 82437. First we will calculate the prime factors of 82420 and 82437.

Prime Factorization of 82420

Prime Factorization of 82437

Now multiplying the highest exponent prime factors to calculate the LCM of 82420 and 82437.

LCM(82420,82437) = 2² × 5¹ × 13¹ × 317¹ × 3¹ × 27479¹
LCM(82420,82437) = 6794457540