What is the Least Common Multiple of 33145 and 33158?

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 33145 and 33158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33145 and 33158, than apply into the LCM equation.

GCF(33145,33158) = 1
LCM(33145,33158) = ( 33145 × 33158) / 1
LCM(33145,33158) = 1099021910 / 1
LCM(33145,33158) = 1099021910

Least Common Multiple (LCM) of 33145 and 33158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33145 and 33158. First we will calculate the prime factors of 33145 and 33158.

Prime Factorization of 33145

Prime Factorization of 33158

Now multiplying the highest exponent prime factors to calculate the LCM of 33145 and 33158.

LCM(33145,33158) = 5¹ × 7¹ × 947¹ × 2¹ × 59¹ × 281¹
LCM(33145,33158) = 1099021910