What is the Least Common Multiple of 62576 and 62594?

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 62576 and 62594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62576 and 62594, than apply into the LCM equation.

GCF(62576,62594) = 2
LCM(62576,62594) = ( 62576 × 62594) / 2
LCM(62576,62594) = 3916882144 / 2
LCM(62576,62594) = 1958441072

Least Common Multiple (LCM) of 62576 and 62594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62576 and 62594. First we will calculate the prime factors of 62576 and 62594.

Prime Factorization of 62576

Prime Factorization of 62594

Now multiplying the highest exponent prime factors to calculate the LCM of 62576 and 62594.

LCM(62576,62594) = 2⁴ × 3911¹ × 7¹ × 17¹ × 263¹
LCM(62576,62594) = 1958441072