What is the Least Common Multiple of 73305 and 73318?

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 73305 and 73318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73305 and 73318, than apply into the LCM equation.

GCF(73305,73318) = 1
LCM(73305,73318) = ( 73305 × 73318) / 1
LCM(73305,73318) = 5374575990 / 1
LCM(73305,73318) = 5374575990

Least Common Multiple (LCM) of 73305 and 73318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73305 and 73318. First we will calculate the prime factors of 73305 and 73318.

Prime Factorization of 73305

Prime Factorization of 73318

Now multiplying the highest exponent prime factors to calculate the LCM of 73305 and 73318.

LCM(73305,73318) = 3⁴ × 5¹ × 181¹ × 2¹ × 7¹ × 5237¹
LCM(73305,73318) = 5374575990