What is the Least Common Multiple of 8090 and 8101?

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 8090 and 8101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8090 and 8101, than apply into the LCM equation.

GCF(8090,8101) = 1
LCM(8090,8101) = ( 8090 × 8101) / 1
LCM(8090,8101) = 65537090 / 1
LCM(8090,8101) = 65537090

Least Common Multiple (LCM) of 8090 and 8101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8090 and 8101. First we will calculate the prime factors of 8090 and 8101.

Prime Factorization of 8090

Prime Factorization of 8101

Now multiplying the highest exponent prime factors to calculate the LCM of 8090 and 8101.

LCM(8090,8101) = 2¹ × 5¹ × 809¹ × 8101¹
LCM(8090,8101) = 65537090