What is the Least Common Multiple of 93042 and 93047?

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 93042 and 93047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93042 and 93047, than apply into the LCM equation.

GCF(93042,93047) = 1
LCM(93042,93047) = ( 93042 × 93047) / 1
LCM(93042,93047) = 8657278974 / 1
LCM(93042,93047) = 8657278974

Least Common Multiple (LCM) of 93042 and 93047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93042 and 93047. First we will calculate the prime factors of 93042 and 93047.

Prime Factorization of 93042

Prime Factorization of 93047

Now multiplying the highest exponent prime factors to calculate the LCM of 93042 and 93047.

LCM(93042,93047) = 2¹ × 3³ × 1723¹ × 93047¹
LCM(93042,93047) = 8657278974