What is the Least Common Multiple of 13123 and 13135?

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 13123 and 13135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13123 and 13135, than apply into the LCM equation.

GCF(13123,13135) = 1
LCM(13123,13135) = ( 13123 × 13135) / 1
LCM(13123,13135) = 172370605 / 1
LCM(13123,13135) = 172370605

Least Common Multiple (LCM) of 13123 and 13135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13123 and 13135. First we will calculate the prime factors of 13123 and 13135.

Prime Factorization of 13123

Prime Factorization of 13135

Now multiplying the highest exponent prime factors to calculate the LCM of 13123 and 13135.

LCM(13123,13135) = 11¹ × 1193¹ × 5¹ × 37¹ × 71¹
LCM(13123,13135) = 172370605