What is the Least Common Multiple of 33065 and 33070?

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 33070 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 33070, than apply into the LCM equation.

GCF(33065,33070) = 5
LCM(33065,33070) = ( 33065 × 33070) / 5
LCM(33065,33070) = 1093459550 / 5
LCM(33065,33070) = 218691910

Least Common Multiple (LCM) of 33065 and 33070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33065 and 33070. First we will calculate the prime factors of 33065 and 33070.

Prime Factorization of 33065

Prime Factorization of 33070

Now multiplying the highest exponent prime factors to calculate the LCM of 33065 and 33070.

LCM(33065,33070) = 5¹ × 17¹ × 389¹ × 2¹ × 3307¹
LCM(33065,33070) = 218691910