What is the Least Common Multiple of 63460 and 63465?

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 63460 and 63465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63460 and 63465, than apply into the LCM equation.

GCF(63460,63465) = 5
LCM(63460,63465) = ( 63460 × 63465) / 5
LCM(63460,63465) = 4027488900 / 5
LCM(63460,63465) = 805497780

Least Common Multiple (LCM) of 63460 and 63465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63460 and 63465. First we will calculate the prime factors of 63460 and 63465.

Prime Factorization of 63460

Prime Factorization of 63465

Now multiplying the highest exponent prime factors to calculate the LCM of 63460 and 63465.

LCM(63460,63465) = 2² × 5¹ × 19¹ × 167¹ × 3¹ × 4231¹
LCM(63460,63465) = 805497780