What is the Least Common Multiple of 91224 and 91239?

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 91239 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 91239, than apply into the LCM equation.

GCF(91224,91239) = 3
LCM(91224,91239) = ( 91224 × 91239) / 3
LCM(91224,91239) = 8323186536 / 3
LCM(91224,91239) = 2774395512

Least Common Multiple (LCM) of 91224 and 91239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91224 and 91239. First we will calculate the prime factors of 91224 and 91239.

Prime Factorization of 91224

Prime Factorization of 91239

Now multiplying the highest exponent prime factors to calculate the LCM of 91224 and 91239.

LCM(91224,91239) = 2³ × 3² × 7¹ × 181¹ × 17¹ × 1789¹
LCM(91224,91239) = 2774395512