What is the Least Common Multiple of 73799 and 73807?

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 73799 and 73807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73799 and 73807, than apply into the LCM equation.

GCF(73799,73807) = 1
LCM(73799,73807) = ( 73799 × 73807) / 1
LCM(73799,73807) = 5446882793 / 1
LCM(73799,73807) = 5446882793

Least Common Multiple (LCM) of 73799 and 73807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73799 and 73807. First we will calculate the prime factors of 73799 and 73807.

Prime Factorization of 73799

Prime Factorization of 73807

Now multiplying the highest exponent prime factors to calculate the LCM of 73799 and 73807.

LCM(73799,73807) = 11¹ × 6709¹ × 23¹ × 3209¹
LCM(73799,73807) = 5446882793