What is the Least Common Multiple of 73270 and 73286?

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 73270 and 73286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73270 and 73286, than apply into the LCM equation.

GCF(73270,73286) = 2
LCM(73270,73286) = ( 73270 × 73286) / 2
LCM(73270,73286) = 5369665220 / 2
LCM(73270,73286) = 2684832610

Least Common Multiple (LCM) of 73270 and 73286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73270 and 73286. First we will calculate the prime factors of 73270 and 73286.

Prime Factorization of 73270

Prime Factorization of 73286

Now multiplying the highest exponent prime factors to calculate the LCM of 73270 and 73286.

LCM(73270,73286) = 2¹ × 5¹ × 17¹ × 431¹ × 36643¹
LCM(73270,73286) = 2684832610