What is the Least Common Multiple of 27758 and 27772?

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 27758 and 27772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27758 and 27772, than apply into the LCM equation.

GCF(27758,27772) = 2
LCM(27758,27772) = ( 27758 × 27772) / 2
LCM(27758,27772) = 770895176 / 2
LCM(27758,27772) = 385447588

Least Common Multiple (LCM) of 27758 and 27772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27758 and 27772. First we will calculate the prime factors of 27758 and 27772.

Prime Factorization of 27758

Prime Factorization of 27772

Now multiplying the highest exponent prime factors to calculate the LCM of 27758 and 27772.

LCM(27758,27772) = 2² × 13879¹ × 53¹ × 131¹
LCM(27758,27772) = 385447588