What is the Least Common Multiple of 62820 and 62838?

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 62820 and 62838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62820 and 62838, than apply into the LCM equation.

GCF(62820,62838) = 18
LCM(62820,62838) = ( 62820 × 62838) / 18
LCM(62820,62838) = 3947483160 / 18
LCM(62820,62838) = 219304620

Least Common Multiple (LCM) of 62820 and 62838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62820 and 62838. First we will calculate the prime factors of 62820 and 62838.

Prime Factorization of 62820

Prime Factorization of 62838

Now multiplying the highest exponent prime factors to calculate the LCM of 62820 and 62838.

LCM(62820,62838) = 2² × 3² × 5¹ × 349¹ × 3491¹
LCM(62820,62838) = 219304620