What is the Least Common Multiple of 91224 and 91234?

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 91224 and 91234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91224 and 91234, than apply into the LCM equation.

GCF(91224,91234) = 2
LCM(91224,91234) = ( 91224 × 91234) / 2
LCM(91224,91234) = 8322730416 / 2
LCM(91224,91234) = 4161365208

Least Common Multiple (LCM) of 91224 and 91234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91224 and 91234. First we will calculate the prime factors of 91224 and 91234.

Prime Factorization of 91224

Prime Factorization of 91234

Now multiplying the highest exponent prime factors to calculate the LCM of 91224 and 91234.

LCM(91224,91234) = 2³ × 3² × 7¹ × 181¹ × 11² × 13¹ × 29¹
LCM(91224,91234) = 4161365208