What is the Least Common Multiple of 70938 and 70946?

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 70938 and 70946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70938 and 70946, than apply into the LCM equation.

GCF(70938,70946) = 2
LCM(70938,70946) = ( 70938 × 70946) / 2
LCM(70938,70946) = 5032767348 / 2
LCM(70938,70946) = 2516383674

Least Common Multiple (LCM) of 70938 and 70946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70938 and 70946. First we will calculate the prime factors of 70938 and 70946.

Prime Factorization of 70938

Prime Factorization of 70946

Now multiplying the highest exponent prime factors to calculate the LCM of 70938 and 70946.

LCM(70938,70946) = 2¹ × 3² × 7¹ × 563¹ × 19¹ × 1867¹
LCM(70938,70946) = 2516383674