What is the Least Common Multiple of 7712 and 7729?

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 7712 and 7729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7712 and 7729, than apply into the LCM equation.

GCF(7712,7729) = 1
LCM(7712,7729) = ( 7712 × 7729) / 1
LCM(7712,7729) = 59606048 / 1
LCM(7712,7729) = 59606048

Least Common Multiple (LCM) of 7712 and 7729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7712 and 7729. First we will calculate the prime factors of 7712 and 7729.

Prime Factorization of 7712

Prime Factorization of 7729

Now multiplying the highest exponent prime factors to calculate the LCM of 7712 and 7729.

LCM(7712,7729) = 2⁵ × 241¹ × 59¹ × 131¹
LCM(7712,7729) = 59606048