What is the Least Common Multiple of 13700 and 13715?

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 13700 and 13715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13700 and 13715, than apply into the LCM equation.

GCF(13700,13715) = 5
LCM(13700,13715) = ( 13700 × 13715) / 5
LCM(13700,13715) = 187895500 / 5
LCM(13700,13715) = 37579100

Least Common Multiple (LCM) of 13700 and 13715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13700 and 13715. First we will calculate the prime factors of 13700 and 13715.

Prime Factorization of 13700

Prime Factorization of 13715

Now multiplying the highest exponent prime factors to calculate the LCM of 13700 and 13715.

LCM(13700,13715) = 2² × 5² × 137¹ × 13¹ × 211¹
LCM(13700,13715) = 37579100