What is the Least Common Multiple of 91530 and 91549?

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 91530 and 91549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91530 and 91549, than apply into the LCM equation.

GCF(91530,91549) = 1
LCM(91530,91549) = ( 91530 × 91549) / 1
LCM(91530,91549) = 8379479970 / 1
LCM(91530,91549) = 8379479970

Least Common Multiple (LCM) of 91530 and 91549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91530 and 91549. First we will calculate the prime factors of 91530 and 91549.

Prime Factorization of 91530

Prime Factorization of 91549

Now multiplying the highest exponent prime factors to calculate the LCM of 91530 and 91549.

LCM(91530,91549) = 2¹ × 3⁴ × 5¹ × 113¹ × 83¹ × 1103¹
LCM(91530,91549) = 8379479970