What is the Least Common Multiple of 94720 and 94734?

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 94720 and 94734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94720 and 94734, than apply into the LCM equation.

GCF(94720,94734) = 2
LCM(94720,94734) = ( 94720 × 94734) / 2
LCM(94720,94734) = 8973204480 / 2
LCM(94720,94734) = 4486602240

Least Common Multiple (LCM) of 94720 and 94734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94720 and 94734. First we will calculate the prime factors of 94720 and 94734.

Prime Factorization of 94720

Prime Factorization of 94734

Now multiplying the highest exponent prime factors to calculate the LCM of 94720 and 94734.

LCM(94720,94734) = 2⁹ × 5¹ × 37¹ × 3² × 19¹ × 277¹
LCM(94720,94734) = 4486602240