What is the Least Common Multiple of 73270 and 73289?

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 73289 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 73289, than apply into the LCM equation.

GCF(73270,73289) = 1
LCM(73270,73289) = ( 73270 × 73289) / 1
LCM(73270,73289) = 5369885030 / 1
LCM(73270,73289) = 5369885030

Least Common Multiple (LCM) of 73270 and 73289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73270 and 73289. First we will calculate the prime factors of 73270 and 73289.

Prime Factorization of 73270

Prime Factorization of 73289

Now multiplying the highest exponent prime factors to calculate the LCM of 73270 and 73289.

LCM(73270,73289) = 2¹ × 5¹ × 17¹ × 431¹ × 83¹ × 883¹
LCM(73270,73289) = 5369885030