What is the Least Common Multiple of 63710 and 63720?

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 63710 and 63720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63710 and 63720, than apply into the LCM equation.

GCF(63710,63720) = 10
LCM(63710,63720) = ( 63710 × 63720) / 10
LCM(63710,63720) = 4059601200 / 10
LCM(63710,63720) = 405960120

Least Common Multiple (LCM) of 63710 and 63720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63710 and 63720. First we will calculate the prime factors of 63710 and 63720.

Prime Factorization of 63710

Prime Factorization of 63720

Now multiplying the highest exponent prime factors to calculate the LCM of 63710 and 63720.

LCM(63710,63720) = 2³ × 5¹ × 23¹ × 277¹ × 3³ × 59¹
LCM(63710,63720) = 405960120