What is the Least Common Multiple of 15749 and 15767?

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 15749 and 15767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15749 and 15767, than apply into the LCM equation.

GCF(15749,15767) = 1
LCM(15749,15767) = ( 15749 × 15767) / 1
LCM(15749,15767) = 248314483 / 1
LCM(15749,15767) = 248314483

Least Common Multiple (LCM) of 15749 and 15767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15749 and 15767. First we will calculate the prime factors of 15749 and 15767.

Prime Factorization of 15749

Prime Factorization of 15767

Now multiplying the highest exponent prime factors to calculate the LCM of 15749 and 15767.

LCM(15749,15767) = 15749¹ × 15767¹
LCM(15749,15767) = 248314483