What is the Least Common Multiple of 27534 and 27540?

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 27534 and 27540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27534 and 27540, than apply into the LCM equation.

GCF(27534,27540) = 6
LCM(27534,27540) = ( 27534 × 27540) / 6
LCM(27534,27540) = 758286360 / 6
LCM(27534,27540) = 126381060

Least Common Multiple (LCM) of 27534 and 27540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27534 and 27540. First we will calculate the prime factors of 27534 and 27540.

Prime Factorization of 27534

Prime Factorization of 27540

Now multiplying the highest exponent prime factors to calculate the LCM of 27534 and 27540.

LCM(27534,27540) = 2² × 3⁴ × 13¹ × 353¹ × 5¹ × 17¹
LCM(27534,27540) = 126381060