What is the Least Common Multiple of 70293 and 70311?

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 70293 and 70311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70293 and 70311, than apply into the LCM equation.

GCF(70293,70311) = 3
LCM(70293,70311) = ( 70293 × 70311) / 3
LCM(70293,70311) = 4942371123 / 3
LCM(70293,70311) = 1647457041

Least Common Multiple (LCM) of 70293 and 70311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70293 and 70311. First we will calculate the prime factors of 70293 and 70311.

Prime Factorization of 70293

Prime Factorization of 70311

Now multiplying the highest exponent prime factors to calculate the LCM of 70293 and 70311.

LCM(70293,70311) = 3¹ × 23431¹ × 23¹ × 1019¹
LCM(70293,70311) = 1647457041