What is the Least Common Multiple of 92103 and 92114?

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 92103 and 92114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92103 and 92114, than apply into the LCM equation.

GCF(92103,92114) = 11
LCM(92103,92114) = ( 92103 × 92114) / 11
LCM(92103,92114) = 8483975742 / 11
LCM(92103,92114) = 771270522

Least Common Multiple (LCM) of 92103 and 92114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92103 and 92114. First we will calculate the prime factors of 92103 and 92114.

Prime Factorization of 92103

Prime Factorization of 92114

Now multiplying the highest exponent prime factors to calculate the LCM of 92103 and 92114.

LCM(92103,92114) = 3¹ × 11¹ × 2791¹ × 2¹ × 53¹ × 79¹
LCM(92103,92114) = 771270522