What is the Least Common Multiple of 15762 and 15780?

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 15762 and 15780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15762 and 15780, than apply into the LCM equation.

GCF(15762,15780) = 6
LCM(15762,15780) = ( 15762 × 15780) / 6
LCM(15762,15780) = 248724360 / 6
LCM(15762,15780) = 41454060

Least Common Multiple (LCM) of 15762 and 15780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15762 and 15780. First we will calculate the prime factors of 15762 and 15780.

Prime Factorization of 15762

Prime Factorization of 15780

Now multiplying the highest exponent prime factors to calculate the LCM of 15762 and 15780.

LCM(15762,15780) = 2² × 3¹ × 37¹ × 71¹ × 5¹ × 263¹
LCM(15762,15780) = 41454060