What is the Least Common Multiple of 15658 and 15677?

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 15658 and 15677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15658 and 15677, than apply into the LCM equation.

GCF(15658,15677) = 1
LCM(15658,15677) = ( 15658 × 15677) / 1
LCM(15658,15677) = 245470466 / 1
LCM(15658,15677) = 245470466

Least Common Multiple (LCM) of 15658 and 15677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15658 and 15677. First we will calculate the prime factors of 15658 and 15677.

Prime Factorization of 15658

Prime Factorization of 15677

Now multiplying the highest exponent prime factors to calculate the LCM of 15658 and 15677.

LCM(15658,15677) = 2¹ × 7829¹ × 61¹ × 257¹
LCM(15658,15677) = 245470466