What is the Least Common Multiple of 66082 and 66098?

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 66082 and 66098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66082 and 66098, than apply into the LCM equation.

GCF(66082,66098) = 2
LCM(66082,66098) = ( 66082 × 66098) / 2
LCM(66082,66098) = 4367888036 / 2
LCM(66082,66098) = 2183944018

Least Common Multiple (LCM) of 66082 and 66098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66082 and 66098. First we will calculate the prime factors of 66082 and 66098.

Prime Factorization of 66082

Prime Factorization of 66098

Now multiplying the highest exponent prime factors to calculate the LCM of 66082 and 66098.

LCM(66082,66098) = 2¹ × 19¹ × 37¹ × 47¹ × 33049¹
LCM(66082,66098) = 2183944018