What is the Least Common Multiple of 94848 and 94861?

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 94848 and 94861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94848 and 94861, than apply into the LCM equation.

GCF(94848,94861) = 13
LCM(94848,94861) = ( 94848 × 94861) / 13
LCM(94848,94861) = 8997376128 / 13
LCM(94848,94861) = 692105856

Least Common Multiple (LCM) of 94848 and 94861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94848 and 94861. First we will calculate the prime factors of 94848 and 94861.

Prime Factorization of 94848

Prime Factorization of 94861

Now multiplying the highest exponent prime factors to calculate the LCM of 94848 and 94861.

LCM(94848,94861) = 2⁷ × 3¹ × 13¹ × 19¹ × 7297¹
LCM(94848,94861) = 692105856