What is the Least Common Multiple of 13692 and 13712?

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 13692 and 13712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13692 and 13712, than apply into the LCM equation.

GCF(13692,13712) = 4
LCM(13692,13712) = ( 13692 × 13712) / 4
LCM(13692,13712) = 187744704 / 4
LCM(13692,13712) = 46936176

Least Common Multiple (LCM) of 13692 and 13712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13692 and 13712. First we will calculate the prime factors of 13692 and 13712.

Prime Factorization of 13692

Prime Factorization of 13712

Now multiplying the highest exponent prime factors to calculate the LCM of 13692 and 13712.

LCM(13692,13712) = 2⁴ × 3¹ × 7¹ × 163¹ × 857¹
LCM(13692,13712) = 46936176