What is the Least Common Multiple of 91530 and 91540?

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 91540 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 91540, than apply into the LCM equation.

GCF(91530,91540) = 10
LCM(91530,91540) = ( 91530 × 91540) / 10
LCM(91530,91540) = 8378656200 / 10
LCM(91530,91540) = 837865620

Least Common Multiple (LCM) of 91530 and 91540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91530 and 91540. First we will calculate the prime factors of 91530 and 91540.

Prime Factorization of 91530

Prime Factorization of 91540

Now multiplying the highest exponent prime factors to calculate the LCM of 91530 and 91540.

LCM(91530,91540) = 2² × 3⁴ × 5¹ × 113¹ × 23¹ × 199¹
LCM(91530,91540) = 837865620