What is the Least Common Multiple of 93456 and 93476?

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 93456 and 93476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93456 and 93476, than apply into the LCM equation.

GCF(93456,93476) = 4
LCM(93456,93476) = ( 93456 × 93476) / 4
LCM(93456,93476) = 8735893056 / 4
LCM(93456,93476) = 2183973264

Least Common Multiple (LCM) of 93456 and 93476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93456 and 93476. First we will calculate the prime factors of 93456 and 93476.

Prime Factorization of 93456

Prime Factorization of 93476

Now multiplying the highest exponent prime factors to calculate the LCM of 93456 and 93476.

LCM(93456,93476) = 2⁴ × 3² × 11¹ × 59¹ × 23369¹
LCM(93456,93476) = 2183973264