What is the Least Common Multiple of 93574 and 93583?

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 93574 and 93583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93574 and 93583, than apply into the LCM equation.

GCF(93574,93583) = 1
LCM(93574,93583) = ( 93574 × 93583) / 1
LCM(93574,93583) = 8756935642 / 1
LCM(93574,93583) = 8756935642

Least Common Multiple (LCM) of 93574 and 93583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93574 and 93583. First we will calculate the prime factors of 93574 and 93583.

Prime Factorization of 93574

Prime Factorization of 93583

Now multiplying the highest exponent prime factors to calculate the LCM of 93574 and 93583.

LCM(93574,93583) = 2¹ × 13¹ × 59¹ × 61¹ × 7¹ × 29¹ × 461¹
LCM(93574,93583) = 8756935642