What is the Least Common Multiple of 62768 and 62782?

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 62768 and 62782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62768 and 62782, than apply into the LCM equation.

GCF(62768,62782) = 2
LCM(62768,62782) = ( 62768 × 62782) / 2
LCM(62768,62782) = 3940700576 / 2
LCM(62768,62782) = 1970350288

Least Common Multiple (LCM) of 62768 and 62782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62768 and 62782. First we will calculate the prime factors of 62768 and 62782.

Prime Factorization of 62768

Prime Factorization of 62782

Now multiplying the highest exponent prime factors to calculate the LCM of 62768 and 62782.

LCM(62768,62782) = 2⁴ × 3923¹ × 31391¹
LCM(62768,62782) = 1970350288