What is the Least Common Multiple of 5465 and 5471?

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 5465 and 5471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5465 and 5471, than apply into the LCM equation.

GCF(5465,5471) = 1
LCM(5465,5471) = ( 5465 × 5471) / 1
LCM(5465,5471) = 29899015 / 1
LCM(5465,5471) = 29899015

Least Common Multiple (LCM) of 5465 and 5471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5465 and 5471. First we will calculate the prime factors of 5465 and 5471.

Prime Factorization of 5465

Prime Factorization of 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 5465 and 5471.

LCM(5465,5471) = 5¹ × 1093¹ × 5471¹
LCM(5465,5471) = 29899015