What is the Least Common Multiple of 73298 and 73302?

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 73298 and 73302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73298 and 73302, than apply into the LCM equation.

GCF(73298,73302) = 2
LCM(73298,73302) = ( 73298 × 73302) / 2
LCM(73298,73302) = 5372889996 / 2
LCM(73298,73302) = 2686444998

Least Common Multiple (LCM) of 73298 and 73302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73298 and 73302. First we will calculate the prime factors of 73298 and 73302.

Prime Factorization of 73298

Prime Factorization of 73302

Now multiplying the highest exponent prime factors to calculate the LCM of 73298 and 73302.

LCM(73298,73302) = 2¹ × 67¹ × 547¹ × 3¹ × 19¹ × 643¹
LCM(73298,73302) = 2686444998