What is the Least Common Multiple of 20696 and 20707?

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 20696 and 20707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20696 and 20707, than apply into the LCM equation.

GCF(20696,20707) = 1
LCM(20696,20707) = ( 20696 × 20707) / 1
LCM(20696,20707) = 428552072 / 1
LCM(20696,20707) = 428552072

Least Common Multiple (LCM) of 20696 and 20707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20696 and 20707. First we will calculate the prime factors of 20696 and 20707.

Prime Factorization of 20696

Prime Factorization of 20707

Now multiplying the highest exponent prime factors to calculate the LCM of 20696 and 20707.

LCM(20696,20707) = 2³ × 13¹ × 199¹ × 20707¹
LCM(20696,20707) = 428552072