What is the Least Common Multiple of 35112 and 35123?

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 35112 and 35123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35112 and 35123, than apply into the LCM equation.

GCF(35112,35123) = 11
LCM(35112,35123) = ( 35112 × 35123) / 11
LCM(35112,35123) = 1233238776 / 11
LCM(35112,35123) = 112112616

Least Common Multiple (LCM) of 35112 and 35123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35112 and 35123. First we will calculate the prime factors of 35112 and 35123.

Prime Factorization of 35112

Prime Factorization of 35123

Now multiplying the highest exponent prime factors to calculate the LCM of 35112 and 35123.

LCM(35112,35123) = 2³ × 3¹ × 7¹ × 11¹ × 19¹ × 31¹ × 103¹
LCM(35112,35123) = 112112616