What is the Least Common Multiple of 36896 and 36907?

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 36896 and 36907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36896 and 36907, than apply into the LCM equation.

GCF(36896,36907) = 1
LCM(36896,36907) = ( 36896 × 36907) / 1
LCM(36896,36907) = 1361720672 / 1
LCM(36896,36907) = 1361720672

Least Common Multiple (LCM) of 36896 and 36907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36896 and 36907. First we will calculate the prime factors of 36896 and 36907.

Prime Factorization of 36896

Prime Factorization of 36907

Now multiplying the highest exponent prime factors to calculate the LCM of 36896 and 36907.

LCM(36896,36907) = 2⁵ × 1153¹ × 13¹ × 17¹ × 167¹
LCM(36896,36907) = 1361720672