What is the Least Common Multiple of 63365 and 63385?

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 63365 and 63385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63365 and 63385, than apply into the LCM equation.

GCF(63365,63385) = 5
LCM(63365,63385) = ( 63365 × 63385) / 5
LCM(63365,63385) = 4016390525 / 5
LCM(63365,63385) = 803278105

Least Common Multiple (LCM) of 63365 and 63385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63365 and 63385. First we will calculate the prime factors of 63365 and 63385.

Prime Factorization of 63365

Prime Factorization of 63385

Now multiplying the highest exponent prime factors to calculate the LCM of 63365 and 63385.

LCM(63365,63385) = 5¹ × 19¹ × 23¹ × 29¹ × 7¹ × 1811¹
LCM(63365,63385) = 803278105