What is the Least Common Multiple of 82998 and 83013?

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 82998 and 83013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82998 and 83013, than apply into the LCM equation.

GCF(82998,83013) = 3
LCM(82998,83013) = ( 82998 × 83013) / 3
LCM(82998,83013) = 6889912974 / 3
LCM(82998,83013) = 2296637658

Least Common Multiple (LCM) of 82998 and 83013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82998 and 83013. First we will calculate the prime factors of 82998 and 83013.

Prime Factorization of 82998

Prime Factorization of 83013

Now multiplying the highest exponent prime factors to calculate the LCM of 82998 and 83013.

LCM(82998,83013) = 2¹ × 3³ × 29¹ × 53¹ × 7¹ × 59¹ × 67¹
LCM(82998,83013) = 2296637658