What is the Least Common Multiple of 70842 and 70862?

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 70842 and 70862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70842 and 70862, than apply into the LCM equation.

GCF(70842,70862) = 2
LCM(70842,70862) = ( 70842 × 70862) / 2
LCM(70842,70862) = 5020005804 / 2
LCM(70842,70862) = 2510002902

Least Common Multiple (LCM) of 70842 and 70862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70842 and 70862. First we will calculate the prime factors of 70842 and 70862.

Prime Factorization of 70842

Prime Factorization of 70862

Now multiplying the highest exponent prime factors to calculate the LCM of 70842 and 70862.

LCM(70842,70862) = 2¹ × 3¹ × 11807¹ × 11¹ × 3221¹
LCM(70842,70862) = 2510002902