What is the Least Common Multiple of 82360 and 82364?

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 82360 and 82364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82360 and 82364, than apply into the LCM equation.

GCF(82360,82364) = 4
LCM(82360,82364) = ( 82360 × 82364) / 4
LCM(82360,82364) = 6783499040 / 4
LCM(82360,82364) = 1695874760

Least Common Multiple (LCM) of 82360 and 82364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82360 and 82364. First we will calculate the prime factors of 82360 and 82364.

Prime Factorization of 82360

Prime Factorization of 82364

Now multiplying the highest exponent prime factors to calculate the LCM of 82360 and 82364.

LCM(82360,82364) = 2³ × 5¹ × 29¹ × 71¹ × 59¹ × 349¹
LCM(82360,82364) = 1695874760