What is the Least Common Multiple of 7768 and 7787?

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 7768 and 7787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7768 and 7787, than apply into the LCM equation.

GCF(7768,7787) = 1
LCM(7768,7787) = ( 7768 × 7787) / 1
LCM(7768,7787) = 60489416 / 1
LCM(7768,7787) = 60489416

Least Common Multiple (LCM) of 7768 and 7787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7768 and 7787. First we will calculate the prime factors of 7768 and 7787.

Prime Factorization of 7768

Prime Factorization of 7787

Now multiplying the highest exponent prime factors to calculate the LCM of 7768 and 7787.

LCM(7768,7787) = 2³ × 971¹ × 13¹ × 599¹
LCM(7768,7787) = 60489416