What is the Least Common Multiple of 7760 and 7777?

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 7777 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 7777, than apply into the LCM equation.

GCF(7760,7777) = 1
LCM(7760,7777) = ( 7760 × 7777) / 1
LCM(7760,7777) = 60349520 / 1
LCM(7760,7777) = 60349520

Least Common Multiple (LCM) of 7760 and 7777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7760 and 7777. First we will calculate the prime factors of 7760 and 7777.

Prime Factorization of 7760

Prime Factorization of 7777

Now multiplying the highest exponent prime factors to calculate the LCM of 7760 and 7777.

LCM(7760,7777) = 2⁴ × 5¹ × 97¹ × 7¹ × 11¹ × 101¹
LCM(7760,7777) = 60349520