What is the Least Common Multiple of 94856 and 94864?

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 94856 and 94864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94856 and 94864, than apply into the LCM equation.

GCF(94856,94864) = 8
LCM(94856,94864) = ( 94856 × 94864) / 8
LCM(94856,94864) = 8998419584 / 8
LCM(94856,94864) = 1124802448

Least Common Multiple (LCM) of 94856 and 94864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94856 and 94864. First we will calculate the prime factors of 94856 and 94864.

Prime Factorization of 94856

Prime Factorization of 94864

Now multiplying the highest exponent prime factors to calculate the LCM of 94856 and 94864.

LCM(94856,94864) = 2⁴ × 71¹ × 167¹ × 7² × 11²
LCM(94856,94864) = 1124802448