What is the Least Common Multiple of 62772 and 62786?

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 62772 and 62786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62772 and 62786, than apply into the LCM equation.

GCF(62772,62786) = 2
LCM(62772,62786) = ( 62772 × 62786) / 2
LCM(62772,62786) = 3941202792 / 2
LCM(62772,62786) = 1970601396

Least Common Multiple (LCM) of 62772 and 62786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62772 and 62786. First we will calculate the prime factors of 62772 and 62786.

Prime Factorization of 62772

Prime Factorization of 62786

Now multiplying the highest exponent prime factors to calculate the LCM of 62772 and 62786.

LCM(62772,62786) = 2² × 3¹ × 5231¹ × 31393¹
LCM(62772,62786) = 1970601396