What is the Least Common Multiple of 7696 and 7702?

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 7696 and 7702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7696 and 7702, than apply into the LCM equation.

GCF(7696,7702) = 2
LCM(7696,7702) = ( 7696 × 7702) / 2
LCM(7696,7702) = 59274592 / 2
LCM(7696,7702) = 29637296

Least Common Multiple (LCM) of 7696 and 7702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7696 and 7702. First we will calculate the prime factors of 7696 and 7702.

Prime Factorization of 7696

Prime Factorization of 7702

Now multiplying the highest exponent prime factors to calculate the LCM of 7696 and 7702.

LCM(7696,7702) = 2⁴ × 13¹ × 37¹ × 3851¹
LCM(7696,7702) = 29637296