What is the Least Common Multiple of 79225 and 79244?

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 79225 and 79244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79225 and 79244, than apply into the LCM equation.

GCF(79225,79244) = 1
LCM(79225,79244) = ( 79225 × 79244) / 1
LCM(79225,79244) = 6278105900 / 1
LCM(79225,79244) = 6278105900

Least Common Multiple (LCM) of 79225 and 79244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79225 and 79244. First we will calculate the prime factors of 79225 and 79244.

Prime Factorization of 79225

Prime Factorization of 79244

Now multiplying the highest exponent prime factors to calculate the LCM of 79225 and 79244.

LCM(79225,79244) = 5² × 3169¹ × 2² × 11¹ × 1801¹
LCM(79225,79244) = 6278105900