What is the Least Common Multiple of 26758 and 26778?

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 26778 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 26778, than apply into the LCM equation.

GCF(26758,26778) = 2
LCM(26758,26778) = ( 26758 × 26778) / 2
LCM(26758,26778) = 716525724 / 2
LCM(26758,26778) = 358262862

Least Common Multiple (LCM) of 26758 and 26778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26758 and 26778. First we will calculate the prime factors of 26758 and 26778.

Prime Factorization of 26758

Prime Factorization of 26778

Now multiplying the highest exponent prime factors to calculate the LCM of 26758 and 26778.

LCM(26758,26778) = 2¹ × 17¹ × 787¹ × 3¹ × 4463¹
LCM(26758,26778) = 358262862