What is the Least Common Multiple of 33065 and 33078?

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 33065 and 33078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33065 and 33078, than apply into the LCM equation.

GCF(33065,33078) = 1
LCM(33065,33078) = ( 33065 × 33078) / 1
LCM(33065,33078) = 1093724070 / 1
LCM(33065,33078) = 1093724070

Least Common Multiple (LCM) of 33065 and 33078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33065 and 33078. First we will calculate the prime factors of 33065 and 33078.

Prime Factorization of 33065

Prime Factorization of 33078

Now multiplying the highest exponent prime factors to calculate the LCM of 33065 and 33078.

LCM(33065,33078) = 5¹ × 17¹ × 389¹ × 2¹ × 3¹ × 37¹ × 149¹
LCM(33065,33078) = 1093724070