What is the Least Common Multiple of 15765 and 15778?

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 15765 and 15778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15765 and 15778, than apply into the LCM equation.

GCF(15765,15778) = 1
LCM(15765,15778) = ( 15765 × 15778) / 1
LCM(15765,15778) = 248740170 / 1
LCM(15765,15778) = 248740170

Least Common Multiple (LCM) of 15765 and 15778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15765 and 15778. First we will calculate the prime factors of 15765 and 15778.

Prime Factorization of 15765

Prime Factorization of 15778

Now multiplying the highest exponent prime factors to calculate the LCM of 15765 and 15778.

LCM(15765,15778) = 3¹ × 5¹ × 1051¹ × 2¹ × 7³ × 23¹
LCM(15765,15778) = 248740170