What is the Least Common Multiple of 62310 and 62328?

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 62310 and 62328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62310 and 62328, than apply into the LCM equation.

GCF(62310,62328) = 6
LCM(62310,62328) = ( 62310 × 62328) / 6
LCM(62310,62328) = 3883657680 / 6
LCM(62310,62328) = 647276280

Least Common Multiple (LCM) of 62310 and 62328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62310 and 62328. First we will calculate the prime factors of 62310 and 62328.

Prime Factorization of 62310

Prime Factorization of 62328

Now multiplying the highest exponent prime factors to calculate the LCM of 62310 and 62328.

LCM(62310,62328) = 2³ × 3¹ × 5¹ × 31¹ × 67¹ × 7² × 53¹
LCM(62310,62328) = 647276280