What is the Least Common Multiple of 27905 and 27910?

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 27905 and 27910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27905 and 27910, than apply into the LCM equation.

GCF(27905,27910) = 5
LCM(27905,27910) = ( 27905 × 27910) / 5
LCM(27905,27910) = 778828550 / 5
LCM(27905,27910) = 155765710

Least Common Multiple (LCM) of 27905 and 27910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27905 and 27910. First we will calculate the prime factors of 27905 and 27910.

Prime Factorization of 27905

Prime Factorization of 27910

Now multiplying the highest exponent prime factors to calculate the LCM of 27905 and 27910.

LCM(27905,27910) = 5¹ × 5581¹ × 2¹ × 2791¹
LCM(27905,27910) = 155765710