What is the Least Common Multiple of 14965 and 14984?

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 14965 and 14984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14965 and 14984, than apply into the LCM equation.

GCF(14965,14984) = 1
LCM(14965,14984) = ( 14965 × 14984) / 1
LCM(14965,14984) = 224235560 / 1
LCM(14965,14984) = 224235560

Least Common Multiple (LCM) of 14965 and 14984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14965 and 14984. First we will calculate the prime factors of 14965 and 14984.

Prime Factorization of 14965

Prime Factorization of 14984

Now multiplying the highest exponent prime factors to calculate the LCM of 14965 and 14984.

LCM(14965,14984) = 5¹ × 41¹ × 73¹ × 2³ × 1873¹
LCM(14965,14984) = 224235560