What is the Least Common Multiple of 26758 and 26763?

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 26758 and 26763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26758 and 26763, than apply into the LCM equation.

GCF(26758,26763) = 1
LCM(26758,26763) = ( 26758 × 26763) / 1
LCM(26758,26763) = 716124354 / 1
LCM(26758,26763) = 716124354

Least Common Multiple (LCM) of 26758 and 26763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26758 and 26763. First we will calculate the prime factors of 26758 and 26763.

Prime Factorization of 26758

Prime Factorization of 26763

Now multiplying the highest exponent prime factors to calculate the LCM of 26758 and 26763.

LCM(26758,26763) = 2¹ × 17¹ × 787¹ × 3¹ × 11¹ × 811¹
LCM(26758,26763) = 716124354