What is the Least Common Multiple of 70798 and 70816?

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 70798 and 70816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70798 and 70816, than apply into the LCM equation.

GCF(70798,70816) = 2
LCM(70798,70816) = ( 70798 × 70816) / 2
LCM(70798,70816) = 5013631168 / 2
LCM(70798,70816) = 2506815584

Least Common Multiple (LCM) of 70798 and 70816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70798 and 70816. First we will calculate the prime factors of 70798 and 70816.

Prime Factorization of 70798

Prime Factorization of 70816

Now multiplying the highest exponent prime factors to calculate the LCM of 70798 and 70816.

LCM(70798,70816) = 2⁵ × 7¹ × 13¹ × 389¹ × 2213¹
LCM(70798,70816) = 2506815584