What is the Least Common Multiple of 27740 and 27749?

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 27740 and 27749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27740 and 27749, than apply into the LCM equation.

GCF(27740,27749) = 1
LCM(27740,27749) = ( 27740 × 27749) / 1
LCM(27740,27749) = 769757260 / 1
LCM(27740,27749) = 769757260

Least Common Multiple (LCM) of 27740 and 27749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27740 and 27749. First we will calculate the prime factors of 27740 and 27749.

Prime Factorization of 27740

Prime Factorization of 27749

Now multiplying the highest exponent prime factors to calculate the LCM of 27740 and 27749.

LCM(27740,27749) = 2² × 5¹ × 19¹ × 73¹ × 27749¹
LCM(27740,27749) = 769757260