What is the Least Common Multiple of 63495 and 63515?

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 63495 and 63515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63495 and 63515, than apply into the LCM equation.

GCF(63495,63515) = 5
LCM(63495,63515) = ( 63495 × 63515) / 5
LCM(63495,63515) = 4032884925 / 5
LCM(63495,63515) = 806576985

Least Common Multiple (LCM) of 63495 and 63515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63495 and 63515. First we will calculate the prime factors of 63495 and 63515.

Prime Factorization of 63495

Prime Factorization of 63515

Now multiplying the highest exponent prime factors to calculate the LCM of 63495 and 63515.

LCM(63495,63515) = 3² × 5¹ × 17¹ × 83¹ × 12703¹
LCM(63495,63515) = 806576985