What is the Least Common Multiple of 83562 and 83582?

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 83562 and 83582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83562 and 83582, than apply into the LCM equation.

GCF(83562,83582) = 2
LCM(83562,83582) = ( 83562 × 83582) / 2
LCM(83562,83582) = 6984279084 / 2
LCM(83562,83582) = 3492139542

Least Common Multiple (LCM) of 83562 and 83582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83562 and 83582. First we will calculate the prime factors of 83562 and 83582.

Prime Factorization of 83562

Prime Factorization of 83582

Now multiplying the highest exponent prime factors to calculate the LCM of 83562 and 83582.

LCM(83562,83582) = 2¹ × 3¹ × 19¹ × 733¹ × 23² × 79¹
LCM(83562,83582) = 3492139542