What is the Least Common Multiple of 90123 and 90134?

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 90123 and 90134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90123 and 90134, than apply into the LCM equation.

GCF(90123,90134) = 11
LCM(90123,90134) = ( 90123 × 90134) / 11
LCM(90123,90134) = 8123146482 / 11
LCM(90123,90134) = 738467862

Least Common Multiple (LCM) of 90123 and 90134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90123 and 90134. First we will calculate the prime factors of 90123 and 90134.

Prime Factorization of 90123

Prime Factorization of 90134

Now multiplying the highest exponent prime factors to calculate the LCM of 90123 and 90134.

LCM(90123,90134) = 3¹ × 11¹ × 2731¹ × 2¹ × 17¹ × 241¹
LCM(90123,90134) = 738467862