What is the Least Common Multiple of 73178 and 73195?

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 73178 and 73195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73178 and 73195, than apply into the LCM equation.

GCF(73178,73195) = 1
LCM(73178,73195) = ( 73178 × 73195) / 1
LCM(73178,73195) = 5356263710 / 1
LCM(73178,73195) = 5356263710

Least Common Multiple (LCM) of 73178 and 73195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73178 and 73195. First we will calculate the prime factors of 73178 and 73195.

Prime Factorization of 73178

Prime Factorization of 73195

Now multiplying the highest exponent prime factors to calculate the LCM of 73178 and 73195.

LCM(73178,73195) = 2¹ × 7¹ × 5227¹ × 5¹ × 14639¹
LCM(73178,73195) = 5356263710