What is the Least Common Multiple of 63515 and 63535?

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 63515 and 63535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63515 and 63535, than apply into the LCM equation.

GCF(63515,63535) = 5
LCM(63515,63535) = ( 63515 × 63535) / 5
LCM(63515,63535) = 4035425525 / 5
LCM(63515,63535) = 807085105

Least Common Multiple (LCM) of 63515 and 63535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63515 and 63535. First we will calculate the prime factors of 63515 and 63535.

Prime Factorization of 63515

Prime Factorization of 63535

Now multiplying the highest exponent prime factors to calculate the LCM of 63515 and 63535.

LCM(63515,63535) = 5¹ × 12703¹ × 97¹ × 131¹
LCM(63515,63535) = 807085105