What is the Least Common Multiple of 93768 and 93783?

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 93768 and 93783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93768 and 93783, than apply into the LCM equation.

GCF(93768,93783) = 3
LCM(93768,93783) = ( 93768 × 93783) / 3
LCM(93768,93783) = 8793844344 / 3
LCM(93768,93783) = 2931281448

Least Common Multiple (LCM) of 93768 and 93783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93768 and 93783. First we will calculate the prime factors of 93768 and 93783.

Prime Factorization of 93768

Prime Factorization of 93783

Now multiplying the highest exponent prime factors to calculate the LCM of 93768 and 93783.

LCM(93768,93783) = 2³ × 3¹ × 3907¹ × 43¹ × 727¹
LCM(93768,93783) = 2931281448