What is the Least Common Multiple of 91546 and 91553?

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 91546 and 91553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91546 and 91553, than apply into the LCM equation.

GCF(91546,91553) = 7
LCM(91546,91553) = ( 91546 × 91553) / 7
LCM(91546,91553) = 8381310938 / 7
LCM(91546,91553) = 1197330134

Least Common Multiple (LCM) of 91546 and 91553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91546 and 91553. First we will calculate the prime factors of 91546 and 91553.

Prime Factorization of 91546

Prime Factorization of 91553

Now multiplying the highest exponent prime factors to calculate the LCM of 91546 and 91553.

LCM(91546,91553) = 2¹ × 7¹ × 13¹ × 503¹ × 11¹ × 29¹ × 41¹
LCM(91546,91553) = 1197330134