What is the Least Common Multiple of 91872 and 91884?

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 91872 and 91884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91872 and 91884, than apply into the LCM equation.

GCF(91872,91884) = 12
LCM(91872,91884) = ( 91872 × 91884) / 12
LCM(91872,91884) = 8441566848 / 12
LCM(91872,91884) = 703463904

Least Common Multiple (LCM) of 91872 and 91884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91872 and 91884. First we will calculate the prime factors of 91872 and 91884.

Prime Factorization of 91872

Prime Factorization of 91884

Now multiplying the highest exponent prime factors to calculate the LCM of 91872 and 91884.

LCM(91872,91884) = 2⁵ × 3² × 11¹ × 29¹ × 13¹ × 19¹ × 31¹
LCM(91872,91884) = 703463904