What is the Least Common Multiple of 33615 and 33630?

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 33615 and 33630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33615 and 33630, than apply into the LCM equation.

GCF(33615,33630) = 15
LCM(33615,33630) = ( 33615 × 33630) / 15
LCM(33615,33630) = 1130472450 / 15
LCM(33615,33630) = 75364830

Least Common Multiple (LCM) of 33615 and 33630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33615 and 33630. First we will calculate the prime factors of 33615 and 33630.

Prime Factorization of 33615

Prime Factorization of 33630

Now multiplying the highest exponent prime factors to calculate the LCM of 33615 and 33630.

LCM(33615,33630) = 3⁴ × 5¹ × 83¹ × 2¹ × 19¹ × 59¹
LCM(33615,33630) = 75364830