What is the Least Common Multiple of 15466 and 15483?

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 15466 and 15483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15466 and 15483, than apply into the LCM equation.

GCF(15466,15483) = 1
LCM(15466,15483) = ( 15466 × 15483) / 1
LCM(15466,15483) = 239460078 / 1
LCM(15466,15483) = 239460078

Least Common Multiple (LCM) of 15466 and 15483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15466 and 15483. First we will calculate the prime factors of 15466 and 15483.

Prime Factorization of 15466

Prime Factorization of 15483

Now multiplying the highest exponent prime factors to calculate the LCM of 15466 and 15483.

LCM(15466,15483) = 2¹ × 11¹ × 19¹ × 37¹ × 3¹ × 13¹ × 397¹
LCM(15466,15483) = 239460078