What is the Least Common Multiple of 93054 and 93073?

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 93054 and 93073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93054 and 93073, than apply into the LCM equation.

GCF(93054,93073) = 1
LCM(93054,93073) = ( 93054 × 93073) / 1
LCM(93054,93073) = 8660814942 / 1
LCM(93054,93073) = 8660814942

Least Common Multiple (LCM) of 93054 and 93073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93054 and 93073. First we will calculate the prime factors of 93054 and 93073.

Prime Factorization of 93054

Prime Factorization of 93073

Now multiplying the highest exponent prime factors to calculate the LCM of 93054 and 93073.

LCM(93054,93073) = 2¹ × 3¹ × 13¹ × 1193¹ × 163¹ × 571¹
LCM(93054,93073) = 8660814942