What is the Least Common Multiple of 7758 and 7763?

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 7758 and 7763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7758 and 7763, than apply into the LCM equation.

GCF(7758,7763) = 1
LCM(7758,7763) = ( 7758 × 7763) / 1
LCM(7758,7763) = 60225354 / 1
LCM(7758,7763) = 60225354

Least Common Multiple (LCM) of 7758 and 7763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7758 and 7763. First we will calculate the prime factors of 7758 and 7763.

Prime Factorization of 7758

Prime Factorization of 7763

Now multiplying the highest exponent prime factors to calculate the LCM of 7758 and 7763.

LCM(7758,7763) = 2¹ × 3² × 431¹ × 7¹ × 1109¹
LCM(7758,7763) = 60225354