What is the Least Common Multiple of 70800 and 70818?

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 70800 and 70818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70800 and 70818, than apply into the LCM equation.

GCF(70800,70818) = 6
LCM(70800,70818) = ( 70800 × 70818) / 6
LCM(70800,70818) = 5013914400 / 6
LCM(70800,70818) = 835652400

Least Common Multiple (LCM) of 70800 and 70818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70800 and 70818. First we will calculate the prime factors of 70800 and 70818.

Prime Factorization of 70800

Prime Factorization of 70818

Now multiplying the highest exponent prime factors to calculate the LCM of 70800 and 70818.

LCM(70800,70818) = 2⁴ × 3¹ × 5² × 59¹ × 11¹ × 29¹ × 37¹
LCM(70800,70818) = 835652400