What is the Least Common Multiple of 15460 and 15469?

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 15460 and 15469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15460 and 15469, than apply into the LCM equation.

GCF(15460,15469) = 1
LCM(15460,15469) = ( 15460 × 15469) / 1
LCM(15460,15469) = 239150740 / 1
LCM(15460,15469) = 239150740

Least Common Multiple (LCM) of 15460 and 15469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15460 and 15469. First we will calculate the prime factors of 15460 and 15469.

Prime Factorization of 15460

Prime Factorization of 15469

Now multiplying the highest exponent prime factors to calculate the LCM of 15460 and 15469.

LCM(15460,15469) = 2² × 5¹ × 773¹ × 31¹ × 499¹
LCM(15460,15469) = 239150740