What is the Least Common Multiple of 70782 and 70792?

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 70782 and 70792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70782 and 70792, than apply into the LCM equation.

GCF(70782,70792) = 2
LCM(70782,70792) = ( 70782 × 70792) / 2
LCM(70782,70792) = 5010799344 / 2
LCM(70782,70792) = 2505399672

Least Common Multiple (LCM) of 70782 and 70792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70782 and 70792. First we will calculate the prime factors of 70782 and 70792.

Prime Factorization of 70782

Prime Factorization of 70792

Now multiplying the highest exponent prime factors to calculate the LCM of 70782 and 70792.

LCM(70782,70792) = 2³ × 3¹ × 47¹ × 251¹ × 8849¹
LCM(70782,70792) = 2505399672