What is the Least Common Multiple of 7760 and 7778?

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 7760 and 7778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7760 and 7778, than apply into the LCM equation.

GCF(7760,7778) = 2
LCM(7760,7778) = ( 7760 × 7778) / 2
LCM(7760,7778) = 60357280 / 2
LCM(7760,7778) = 30178640

Least Common Multiple (LCM) of 7760 and 7778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7760 and 7778. First we will calculate the prime factors of 7760 and 7778.

Prime Factorization of 7760

Prime Factorization of 7778

Now multiplying the highest exponent prime factors to calculate the LCM of 7760 and 7778.

LCM(7760,7778) = 2⁴ × 5¹ × 97¹ × 3889¹
LCM(7760,7778) = 30178640