What is the Least Common Multiple of 13762 and 13776?

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 13762 and 13776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13762 and 13776, than apply into the LCM equation.

GCF(13762,13776) = 14
LCM(13762,13776) = ( 13762 × 13776) / 14
LCM(13762,13776) = 189585312 / 14
LCM(13762,13776) = 13541808

Least Common Multiple (LCM) of 13762 and 13776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13762 and 13776. First we will calculate the prime factors of 13762 and 13776.

Prime Factorization of 13762

Prime Factorization of 13776

Now multiplying the highest exponent prime factors to calculate the LCM of 13762 and 13776.

LCM(13762,13776) = 2⁴ × 7¹ × 983¹ × 3¹ × 41¹
LCM(13762,13776) = 13541808