What is the Least Common Multiple of 91998 and 92016?

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 91998 and 92016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91998 and 92016, than apply into the LCM equation.

GCF(91998,92016) = 18
LCM(91998,92016) = ( 91998 × 92016) / 18
LCM(91998,92016) = 8465287968 / 18
LCM(91998,92016) = 470293776

Least Common Multiple (LCM) of 91998 and 92016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91998 and 92016. First we will calculate the prime factors of 91998 and 92016.

Prime Factorization of 91998

Prime Factorization of 92016

Now multiplying the highest exponent prime factors to calculate the LCM of 91998 and 92016.

LCM(91998,92016) = 2⁴ × 3⁴ × 19¹ × 269¹ × 71¹
LCM(91998,92016) = 470293776