What is the Least Common Multiple of 63465 and 63485?

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 63485 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 63485, than apply into the LCM equation.

GCF(63465,63485) = 5
LCM(63465,63485) = ( 63465 × 63485) / 5
LCM(63465,63485) = 4029075525 / 5
LCM(63465,63485) = 805815105

Least Common Multiple (LCM) of 63465 and 63485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63465 and 63485. First we will calculate the prime factors of 63465 and 63485.

Prime Factorization of 63465

Prime Factorization of 63485

Now multiplying the highest exponent prime factors to calculate the LCM of 63465 and 63485.

LCM(63465,63485) = 3¹ × 5¹ × 4231¹ × 12697¹
LCM(63465,63485) = 805815105