What is the Least Common Multiple of 66035 and 66041?

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 66035 and 66041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66035 and 66041, than apply into the LCM equation.

GCF(66035,66041) = 1
LCM(66035,66041) = ( 66035 × 66041) / 1
LCM(66035,66041) = 4361017435 / 1
LCM(66035,66041) = 4361017435

Least Common Multiple (LCM) of 66035 and 66041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66035 and 66041. First we will calculate the prime factors of 66035 and 66041.

Prime Factorization of 66035

Prime Factorization of 66041

Now multiplying the highest exponent prime factors to calculate the LCM of 66035 and 66041.

LCM(66035,66041) = 5¹ × 47¹ × 281¹ × 66041¹
LCM(66035,66041) = 4361017435