What is the Least Common Multiple of 93768 and 93776?

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 93776 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 93776, than apply into the LCM equation.

GCF(93768,93776) = 8
LCM(93768,93776) = ( 93768 × 93776) / 8
LCM(93768,93776) = 8793187968 / 8
LCM(93768,93776) = 1099148496

Least Common Multiple (LCM) of 93768 and 93776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93768 and 93776. First we will calculate the prime factors of 93768 and 93776.

Prime Factorization of 93768

Prime Factorization of 93776

Now multiplying the highest exponent prime factors to calculate the LCM of 93768 and 93776.

LCM(93768,93776) = 2⁴ × 3¹ × 3907¹ × 5861¹
LCM(93768,93776) = 1099148496