What is the Least Common Multiple of 94455 and 94460?

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 94455 and 94460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94455 and 94460, than apply into the LCM equation.

GCF(94455,94460) = 5
LCM(94455,94460) = ( 94455 × 94460) / 5
LCM(94455,94460) = 8922219300 / 5
LCM(94455,94460) = 1784443860

Least Common Multiple (LCM) of 94455 and 94460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94455 and 94460. First we will calculate the prime factors of 94455 and 94460.

Prime Factorization of 94455

Prime Factorization of 94460

Now multiplying the highest exponent prime factors to calculate the LCM of 94455 and 94460.

LCM(94455,94460) = 3² × 5¹ × 2099¹ × 2² × 4723¹
LCM(94455,94460) = 1784443860