What is the Least Common Multiple of 63756 and 63765?

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 63756 and 63765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63756 and 63765, than apply into the LCM equation.

GCF(63756,63765) = 9
LCM(63756,63765) = ( 63756 × 63765) / 9
LCM(63756,63765) = 4065401340 / 9
LCM(63756,63765) = 451711260

Least Common Multiple (LCM) of 63756 and 63765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63756 and 63765. First we will calculate the prime factors of 63756 and 63765.

Prime Factorization of 63756

Prime Factorization of 63765

Now multiplying the highest exponent prime factors to calculate the LCM of 63756 and 63765.

LCM(63756,63765) = 2² × 3² × 7¹ × 11¹ × 23¹ × 5¹ × 13¹ × 109¹
LCM(63756,63765) = 451711260