What is the Least Common Multiple of 26546 and 26562?

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 26546 and 26562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26546 and 26562, than apply into the LCM equation.

GCF(26546,26562) = 2
LCM(26546,26562) = ( 26546 × 26562) / 2
LCM(26546,26562) = 705114852 / 2
LCM(26546,26562) = 352557426

Least Common Multiple (LCM) of 26546 and 26562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26546 and 26562. First we will calculate the prime factors of 26546 and 26562.

Prime Factorization of 26546

Prime Factorization of 26562

Now multiplying the highest exponent prime factors to calculate the LCM of 26546 and 26562.

LCM(26546,26562) = 2¹ × 13¹ × 1021¹ × 3¹ × 19¹ × 233¹
LCM(26546,26562) = 352557426