What is the Least Common Multiple of 62814 and 62820?

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 62814 and 62820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62814 and 62820, than apply into the LCM equation.

GCF(62814,62820) = 6
LCM(62814,62820) = ( 62814 × 62820) / 6
LCM(62814,62820) = 3945975480 / 6
LCM(62814,62820) = 657662580

Least Common Multiple (LCM) of 62814 and 62820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62814 and 62820. First we will calculate the prime factors of 62814 and 62820.

Prime Factorization of 62814

Prime Factorization of 62820

Now multiplying the highest exponent prime factors to calculate the LCM of 62814 and 62820.

LCM(62814,62820) = 2² × 3² × 19² × 29¹ × 5¹ × 349¹
LCM(62814,62820) = 657662580