What is the Least Common Multiple of 62604 and 62614?

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 62604 and 62614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62604 and 62614, than apply into the LCM equation.

GCF(62604,62614) = 2
LCM(62604,62614) = ( 62604 × 62614) / 2
LCM(62604,62614) = 3919886856 / 2
LCM(62604,62614) = 1959943428

Least Common Multiple (LCM) of 62604 and 62614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62604 and 62614. First we will calculate the prime factors of 62604 and 62614.

Prime Factorization of 62604

Prime Factorization of 62614

Now multiplying the highest exponent prime factors to calculate the LCM of 62604 and 62614.

LCM(62604,62614) = 2² × 3² × 37¹ × 47¹ × 31307¹
LCM(62604,62614) = 1959943428