What is the Least Common Multiple of 63480 and 63486?

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 63480 and 63486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63480 and 63486, than apply into the LCM equation.

GCF(63480,63486) = 6
LCM(63480,63486) = ( 63480 × 63486) / 6
LCM(63480,63486) = 4030091280 / 6
LCM(63480,63486) = 671681880

Least Common Multiple (LCM) of 63480 and 63486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63480 and 63486. First we will calculate the prime factors of 63480 and 63486.

Prime Factorization of 63480

Prime Factorization of 63486

Now multiplying the highest exponent prime factors to calculate the LCM of 63480 and 63486.

LCM(63480,63486) = 2³ × 3² × 5¹ × 23² × 3527¹
LCM(63480,63486) = 671681880