What is the Least Common Multiple of 63465 and 63471?

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 63465 and 63471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63465 and 63471, than apply into the LCM equation.

GCF(63465,63471) = 3
LCM(63465,63471) = ( 63465 × 63471) / 3
LCM(63465,63471) = 4028187015 / 3
LCM(63465,63471) = 1342729005

Least Common Multiple (LCM) of 63465 and 63471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63465 and 63471. First we will calculate the prime factors of 63465 and 63471.

Prime Factorization of 63465

Prime Factorization of 63471

Now multiplying the highest exponent prime factors to calculate the LCM of 63465 and 63471.

LCM(63465,63471) = 3¹ × 5¹ × 4231¹ × 21157¹
LCM(63465,63471) = 1342729005