What is the Least Common Multiple of 27790 and 27810?

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 27790 and 27810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27790 and 27810, than apply into the LCM equation.

GCF(27790,27810) = 10
LCM(27790,27810) = ( 27790 × 27810) / 10
LCM(27790,27810) = 772839900 / 10
LCM(27790,27810) = 77283990

Least Common Multiple (LCM) of 27790 and 27810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27790 and 27810. First we will calculate the prime factors of 27790 and 27810.

Prime Factorization of 27790

Prime Factorization of 27810

Now multiplying the highest exponent prime factors to calculate the LCM of 27790 and 27810.

LCM(27790,27810) = 2¹ × 5¹ × 7¹ × 397¹ × 3³ × 103¹
LCM(27790,27810) = 77283990