What is the Least Common Multiple of 79780 and 79798?

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 79780 and 79798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79780 and 79798, than apply into the LCM equation.

GCF(79780,79798) = 2
LCM(79780,79798) = ( 79780 × 79798) / 2
LCM(79780,79798) = 6366284440 / 2
LCM(79780,79798) = 3183142220

Least Common Multiple (LCM) of 79780 and 79798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79780 and 79798. First we will calculate the prime factors of 79780 and 79798.

Prime Factorization of 79780

Prime Factorization of 79798

Now multiplying the highest exponent prime factors to calculate the LCM of 79780 and 79798.

LCM(79780,79798) = 2² × 5¹ × 3989¹ × 17¹ × 2347¹
LCM(79780,79798) = 3183142220