What is the Least Common Multiple of 79834 and 79840?

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 79834 and 79840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79834 and 79840, than apply into the LCM equation.

GCF(79834,79840) = 2
LCM(79834,79840) = ( 79834 × 79840) / 2
LCM(79834,79840) = 6373946560 / 2
LCM(79834,79840) = 3186973280

Least Common Multiple (LCM) of 79834 and 79840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79834 and 79840. First we will calculate the prime factors of 79834 and 79840.

Prime Factorization of 79834

Prime Factorization of 79840

Now multiplying the highest exponent prime factors to calculate the LCM of 79834 and 79840.

LCM(79834,79840) = 2⁵ × 179¹ × 223¹ × 5¹ × 499¹
LCM(79834,79840) = 3186973280