What is the Least Common Multiple of 91814 and 91832?

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 91814 and 91832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91814 and 91832, than apply into the LCM equation.

GCF(91814,91832) = 2
LCM(91814,91832) = ( 91814 × 91832) / 2
LCM(91814,91832) = 8431463248 / 2
LCM(91814,91832) = 4215731624

Least Common Multiple (LCM) of 91814 and 91832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91814 and 91832. First we will calculate the prime factors of 91814 and 91832.

Prime Factorization of 91814

Prime Factorization of 91832

Now multiplying the highest exponent prime factors to calculate the LCM of 91814 and 91832.

LCM(91814,91832) = 2³ × 29¹ × 1583¹ × 13¹ × 883¹
LCM(91814,91832) = 4215731624