What is the Least Common Multiple of 70816 and 70834?

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 70816 and 70834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70816 and 70834, than apply into the LCM equation.

GCF(70816,70834) = 2
LCM(70816,70834) = ( 70816 × 70834) / 2
LCM(70816,70834) = 5016180544 / 2
LCM(70816,70834) = 2508090272

Least Common Multiple (LCM) of 70816 and 70834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70816 and 70834. First we will calculate the prime factors of 70816 and 70834.

Prime Factorization of 70816

Prime Factorization of 70834

Now multiplying the highest exponent prime factors to calculate the LCM of 70816 and 70834.

LCM(70816,70834) = 2⁵ × 2213¹ × 107¹ × 331¹
LCM(70816,70834) = 2508090272