What is the Least Common Multiple of 62744 and 62758?

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 62744 and 62758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62744 and 62758, than apply into the LCM equation.

GCF(62744,62758) = 2
LCM(62744,62758) = ( 62744 × 62758) / 2
LCM(62744,62758) = 3937687952 / 2
LCM(62744,62758) = 1968843976

Least Common Multiple (LCM) of 62744 and 62758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62744 and 62758. First we will calculate the prime factors of 62744 and 62758.

Prime Factorization of 62744

Prime Factorization of 62758

Now multiplying the highest exponent prime factors to calculate the LCM of 62744 and 62758.

LCM(62744,62758) = 2³ × 11¹ × 23¹ × 31¹ × 31379¹
LCM(62744,62758) = 1968843976