What is the Least Common Multiple of 2758 and 2772?

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 2758 and 2772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2758 and 2772, than apply into the LCM equation.

GCF(2758,2772) = 14
LCM(2758,2772) = ( 2758 × 2772) / 14
LCM(2758,2772) = 7645176 / 14
LCM(2758,2772) = 546084

Least Common Multiple (LCM) of 2758 and 2772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2758 and 2772. First we will calculate the prime factors of 2758 and 2772.

Prime Factorization of 2758

Prime Factorization of 2772

Now multiplying the highest exponent prime factors to calculate the LCM of 2758 and 2772.

LCM(2758,2772) = 2² × 7¹ × 197¹ × 3² × 11¹
LCM(2758,2772) = 546084