What is the Least Common Multiple of 73194 and 73205?

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 73194 and 73205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73194 and 73205, than apply into the LCM equation.

GCF(73194,73205) = 11
LCM(73194,73205) = ( 73194 × 73205) / 11
LCM(73194,73205) = 5358166770 / 11
LCM(73194,73205) = 487106070

Least Common Multiple (LCM) of 73194 and 73205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73194 and 73205. First we will calculate the prime factors of 73194 and 73205.

Prime Factorization of 73194

Prime Factorization of 73205

Now multiplying the highest exponent prime factors to calculate the LCM of 73194 and 73205.

LCM(73194,73205) = 2¹ × 3¹ × 11⁴ × 1109¹ × 5¹
LCM(73194,73205) = 487106070