What is the Least Common Multiple of 63765 and 63785?

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 63765 and 63785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63765 and 63785, than apply into the LCM equation.

GCF(63765,63785) = 5
LCM(63765,63785) = ( 63765 × 63785) / 5
LCM(63765,63785) = 4067250525 / 5
LCM(63765,63785) = 813450105

Least Common Multiple (LCM) of 63765 and 63785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63765 and 63785. First we will calculate the prime factors of 63765 and 63785.

Prime Factorization of 63765

Prime Factorization of 63785

Now multiplying the highest exponent prime factors to calculate the LCM of 63765 and 63785.

LCM(63765,63785) = 3² × 5¹ × 13¹ × 109¹ × 12757¹
LCM(63765,63785) = 813450105