What is the Least Common Multiple of 2758 and 2776?

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 2776 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 2776, than apply into the LCM equation.

GCF(2758,2776) = 2
LCM(2758,2776) = ( 2758 × 2776) / 2
LCM(2758,2776) = 7656208 / 2
LCM(2758,2776) = 3828104

Least Common Multiple (LCM) of 2758 and 2776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2758 and 2776. First we will calculate the prime factors of 2758 and 2776.

Prime Factorization of 2758

Prime Factorization of 2776

Now multiplying the highest exponent prime factors to calculate the LCM of 2758 and 2776.

LCM(2758,2776) = 2³ × 7¹ × 197¹ × 347¹
LCM(2758,2776) = 3828104