What is the Least Common Multiple of 82122 and 82130?

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 82122 and 82130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82122 and 82130, than apply into the LCM equation.

GCF(82122,82130) = 2
LCM(82122,82130) = ( 82122 × 82130) / 2
LCM(82122,82130) = 6744679860 / 2
LCM(82122,82130) = 3372339930

Least Common Multiple (LCM) of 82122 and 82130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82122 and 82130. First we will calculate the prime factors of 82122 and 82130.

Prime Factorization of 82122

Prime Factorization of 82130

Now multiplying the highest exponent prime factors to calculate the LCM of 82122 and 82130.

LCM(82122,82130) = 2¹ × 3¹ × 13687¹ × 5¹ × 43¹ × 191¹
LCM(82122,82130) = 3372339930