What is the Least Common Multiple of 70294 and 70301?

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 70294 and 70301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70294 and 70301, than apply into the LCM equation.

GCF(70294,70301) = 7
LCM(70294,70301) = ( 70294 × 70301) / 7
LCM(70294,70301) = 4941738494 / 7
LCM(70294,70301) = 705962642

Least Common Multiple (LCM) of 70294 and 70301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70294 and 70301. First we will calculate the prime factors of 70294 and 70301.

Prime Factorization of 70294

Prime Factorization of 70301

Now multiplying the highest exponent prime factors to calculate the LCM of 70294 and 70301.

LCM(70294,70301) = 2¹ × 7¹ × 5021¹ × 11² × 83¹
LCM(70294,70301) = 705962642