What is the Least Common Multiple of 93600 and 93614?

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 93600 and 93614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93600 and 93614, than apply into the LCM equation.

GCF(93600,93614) = 2
LCM(93600,93614) = ( 93600 × 93614) / 2
LCM(93600,93614) = 8762270400 / 2
LCM(93600,93614) = 4381135200

Least Common Multiple (LCM) of 93600 and 93614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93600 and 93614. First we will calculate the prime factors of 93600 and 93614.

Prime Factorization of 93600

Prime Factorization of 93614

Now multiplying the highest exponent prime factors to calculate the LCM of 93600 and 93614.

LCM(93600,93614) = 2⁵ × 3² × 5² × 13¹ × 46807¹
LCM(93600,93614) = 4381135200