What is the Least Common Multiple of 63457 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 63457 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 63457 and 63465, than apply into the LCM equation.

GCF(63457,63465) = 1
LCM(63457,63465) = ( 63457 × 63465) / 1
LCM(63457,63465) = 4027298505 / 1
LCM(63457,63465) = 4027298505

Least Common Multiple (LCM) of 63457 and 63465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63457 and 63465. First we will calculate the prime factors of 63457 and 63465.

Prime Factorization of 63457

Prime Factorization of 63465

Now multiplying the highest exponent prime factors to calculate the LCM of 63457 and 63465.

LCM(63457,63465) = 23¹ × 31¹ × 89¹ × 3¹ × 5¹ × 4231¹
LCM(63457,63465) = 4027298505