What is the Least Common Multiple of 91848 and 91868?

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 91848 and 91868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91848 and 91868, than apply into the LCM equation.

GCF(91848,91868) = 4
LCM(91848,91868) = ( 91848 × 91868) / 4
LCM(91848,91868) = 8437892064 / 4
LCM(91848,91868) = 2109473016

Least Common Multiple (LCM) of 91848 and 91868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91848 and 91868. First we will calculate the prime factors of 91848 and 91868.

Prime Factorization of 91848

Prime Factorization of 91868

Now multiplying the highest exponent prime factors to calculate the LCM of 91848 and 91868.

LCM(91848,91868) = 2³ × 3¹ × 43¹ × 89¹ × 7¹ × 17¹ × 193¹
LCM(91848,91868) = 2109473016