What is the Least Common Multiple of 73290 and 73305?

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 73290 and 73305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73290 and 73305, than apply into the LCM equation.

GCF(73290,73305) = 15
LCM(73290,73305) = ( 73290 × 73305) / 15
LCM(73290,73305) = 5372523450 / 15
LCM(73290,73305) = 358168230

Least Common Multiple (LCM) of 73290 and 73305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73290 and 73305. First we will calculate the prime factors of 73290 and 73305.

Prime Factorization of 73290

Prime Factorization of 73305

Now multiplying the highest exponent prime factors to calculate the LCM of 73290 and 73305.

LCM(73290,73305) = 2¹ × 3⁴ × 5¹ × 7¹ × 349¹ × 181¹
LCM(73290,73305) = 358168230