What is the Least Common Multiple of 62762 and 62767?

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 62762 and 62767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62762 and 62767, than apply into the LCM equation.

GCF(62762,62767) = 1
LCM(62762,62767) = ( 62762 × 62767) / 1
LCM(62762,62767) = 3939382454 / 1
LCM(62762,62767) = 3939382454

Least Common Multiple (LCM) of 62762 and 62767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62762 and 62767. First we will calculate the prime factors of 62762 and 62767.

Prime Factorization of 62762

Prime Factorization of 62767

Now multiplying the highest exponent prime factors to calculate the LCM of 62762 and 62767.

LCM(62762,62767) = 2¹ × 7¹ × 4483¹ × 23¹ × 2729¹
LCM(62762,62767) = 3939382454