What is the Least Common Multiple of 65083 and 65087?

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 65083 and 65087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65083 and 65087, than apply into the LCM equation.

GCF(65083,65087) = 1
LCM(65083,65087) = ( 65083 × 65087) / 1
LCM(65083,65087) = 4236057221 / 1
LCM(65083,65087) = 4236057221

Least Common Multiple (LCM) of 65083 and 65087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65083 and 65087. First we will calculate the prime factors of 65083 and 65087.

Prime Factorization of 65083

Prime Factorization of 65087

Now multiplying the highest exponent prime factors to calculate the LCM of 65083 and 65087.

LCM(65083,65087) = 37¹ × 1759¹ × 11¹ × 61¹ × 97¹
LCM(65083,65087) = 4236057221