What is the Least Common Multiple of 62714 and 62730?

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 62714 and 62730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62714 and 62730, than apply into the LCM equation.

GCF(62714,62730) = 2
LCM(62714,62730) = ( 62714 × 62730) / 2
LCM(62714,62730) = 3934049220 / 2
LCM(62714,62730) = 1967024610

Least Common Multiple (LCM) of 62714 and 62730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62714 and 62730. First we will calculate the prime factors of 62714 and 62730.

Prime Factorization of 62714

Prime Factorization of 62730

Now multiplying the highest exponent prime factors to calculate the LCM of 62714 and 62730.

LCM(62714,62730) = 2¹ × 31357¹ × 3² × 5¹ × 17¹ × 41¹
LCM(62714,62730) = 1967024610