What is the Least Common Multiple of 15705 and 15715?

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 15705 and 15715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15705 and 15715, than apply into the LCM equation.

GCF(15705,15715) = 5
LCM(15705,15715) = ( 15705 × 15715) / 5
LCM(15705,15715) = 246804075 / 5
LCM(15705,15715) = 49360815

Least Common Multiple (LCM) of 15705 and 15715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15705 and 15715. First we will calculate the prime factors of 15705 and 15715.

Prime Factorization of 15705

Prime Factorization of 15715

Now multiplying the highest exponent prime factors to calculate the LCM of 15705 and 15715.

LCM(15705,15715) = 3² × 5¹ × 349¹ × 7¹ × 449¹
LCM(15705,15715) = 49360815