What is the Least Common Multiple of 79925 and 79930?

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 79925 and 79930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79925 and 79930, than apply into the LCM equation.

GCF(79925,79930) = 5
LCM(79925,79930) = ( 79925 × 79930) / 5
LCM(79925,79930) = 6388405250 / 5
LCM(79925,79930) = 1277681050

Least Common Multiple (LCM) of 79925 and 79930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79925 and 79930. First we will calculate the prime factors of 79925 and 79930.

Prime Factorization of 79925

Prime Factorization of 79930

Now multiplying the highest exponent prime factors to calculate the LCM of 79925 and 79930.

LCM(79925,79930) = 5² × 23¹ × 139¹ × 2¹ × 7993¹
LCM(79925,79930) = 1277681050