What is the Least Common Multiple of 7712 and 7722?

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 7722 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 7722, than apply into the LCM equation.

GCF(7712,7722) = 2
LCM(7712,7722) = ( 7712 × 7722) / 2
LCM(7712,7722) = 59552064 / 2
LCM(7712,7722) = 29776032

Least Common Multiple (LCM) of 7712 and 7722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7712 and 7722. First we will calculate the prime factors of 7712 and 7722.

Prime Factorization of 7712

Prime Factorization of 7722

Now multiplying the highest exponent prime factors to calculate the LCM of 7712 and 7722.

LCM(7712,7722) = 2⁵ × 241¹ × 3³ × 11¹ × 13¹
LCM(7712,7722) = 29776032