What is the Least Common Multiple of 14946 and 14965?

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 14946 and 14965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14946 and 14965, than apply into the LCM equation.

GCF(14946,14965) = 1
LCM(14946,14965) = ( 14946 × 14965) / 1
LCM(14946,14965) = 223666890 / 1
LCM(14946,14965) = 223666890

Least Common Multiple (LCM) of 14946 and 14965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14946 and 14965. First we will calculate the prime factors of 14946 and 14965.

Prime Factorization of 14946

Prime Factorization of 14965

Now multiplying the highest exponent prime factors to calculate the LCM of 14946 and 14965.

LCM(14946,14965) = 2¹ × 3¹ × 47¹ × 53¹ × 5¹ × 41¹ × 73¹
LCM(14946,14965) = 223666890