What is the Least Common Multiple of 92123 and 92135?

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 92123 and 92135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92123 and 92135, than apply into the LCM equation.

GCF(92123,92135) = 1
LCM(92123,92135) = ( 92123 × 92135) / 1
LCM(92123,92135) = 8487752605 / 1
LCM(92123,92135) = 8487752605

Least Common Multiple (LCM) of 92123 and 92135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92123 and 92135. First we will calculate the prime factors of 92123 and 92135.

Prime Factorization of 92123

Prime Factorization of 92135

Now multiplying the highest exponent prime factors to calculate the LCM of 92123 and 92135.

LCM(92123,92135) = 17¹ × 5419¹ × 5¹ × 18427¹
LCM(92123,92135) = 8487752605