What is the Least Common Multiple of 26752 and 26769?

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 26752 and 26769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26752 and 26769, than apply into the LCM equation.

GCF(26752,26769) = 1
LCM(26752,26769) = ( 26752 × 26769) / 1
LCM(26752,26769) = 716124288 / 1
LCM(26752,26769) = 716124288

Least Common Multiple (LCM) of 26752 and 26769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26752 and 26769. First we will calculate the prime factors of 26752 and 26769.

Prime Factorization of 26752

Prime Factorization of 26769

Now multiplying the highest exponent prime factors to calculate the LCM of 26752 and 26769.

LCM(26752,26769) = 2⁷ × 11¹ × 19¹ × 3¹ × 8923¹
LCM(26752,26769) = 716124288