What is the Least Common Multiple of 33607 and 33615?

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 33607 and 33615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33607 and 33615, than apply into the LCM equation.

GCF(33607,33615) = 1
LCM(33607,33615) = ( 33607 × 33615) / 1
LCM(33607,33615) = 1129699305 / 1
LCM(33607,33615) = 1129699305

Least Common Multiple (LCM) of 33607 and 33615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33607 and 33615. First we will calculate the prime factors of 33607 and 33615.

Prime Factorization of 33607

Prime Factorization of 33615

Now multiplying the highest exponent prime factors to calculate the LCM of 33607 and 33615.

LCM(33607,33615) = 7¹ × 4801¹ × 3⁴ × 5¹ × 83¹
LCM(33607,33615) = 1129699305