What is the Least Common Multiple of 70933 and 70942?

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 70933 and 70942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70933 and 70942, than apply into the LCM equation.

GCF(70933,70942) = 1
LCM(70933,70942) = ( 70933 × 70942) / 1
LCM(70933,70942) = 5032128886 / 1
LCM(70933,70942) = 5032128886

Least Common Multiple (LCM) of 70933 and 70942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70933 and 70942. First we will calculate the prime factors of 70933 and 70942.

Prime Factorization of 70933

Prime Factorization of 70942

Now multiplying the highest exponent prime factors to calculate the LCM of 70933 and 70942.

LCM(70933,70942) = 89¹ × 797¹ × 2¹ × 79¹ × 449¹
LCM(70933,70942) = 5032128886