What is the Least Common Multiple of 91530 and 91546?

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 91546 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 91546, than apply into the LCM equation.

GCF(91530,91546) = 2
LCM(91530,91546) = ( 91530 × 91546) / 2
LCM(91530,91546) = 8379205380 / 2
LCM(91530,91546) = 4189602690

Least Common Multiple (LCM) of 91530 and 91546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91530 and 91546. First we will calculate the prime factors of 91530 and 91546.

Prime Factorization of 91530

Prime Factorization of 91546

Now multiplying the highest exponent prime factors to calculate the LCM of 91530 and 91546.

LCM(91530,91546) = 2¹ × 3⁴ × 5¹ × 113¹ × 7¹ × 13¹ × 503¹
LCM(91530,91546) = 4189602690