What is the Least Common Multiple of 62760 and 62774?

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 62760 and 62774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62760 and 62774, than apply into the LCM equation.

GCF(62760,62774) = 2
LCM(62760,62774) = ( 62760 × 62774) / 2
LCM(62760,62774) = 3939696240 / 2
LCM(62760,62774) = 1969848120

Least Common Multiple (LCM) of 62760 and 62774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62760 and 62774. First we will calculate the prime factors of 62760 and 62774.

Prime Factorization of 62760

Prime Factorization of 62774

Now multiplying the highest exponent prime factors to calculate the LCM of 62760 and 62774.

LCM(62760,62774) = 2³ × 3¹ × 5¹ × 523¹ × 31387¹
LCM(62760,62774) = 1969848120