What is the Least Common Multiple of 82670 and 82682?

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 82670 and 82682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82670 and 82682, than apply into the LCM equation.

GCF(82670,82682) = 2
LCM(82670,82682) = ( 82670 × 82682) / 2
LCM(82670,82682) = 6835320940 / 2
LCM(82670,82682) = 3417660470

Least Common Multiple (LCM) of 82670 and 82682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82670 and 82682. First we will calculate the prime factors of 82670 and 82682.

Prime Factorization of 82670

Prime Factorization of 82682

Now multiplying the highest exponent prime factors to calculate the LCM of 82670 and 82682.

LCM(82670,82682) = 2¹ × 5¹ × 7¹ × 1181¹ × 41341¹
LCM(82670,82682) = 3417660470