What is the Least Common Multiple of 26537 and 26547?

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 26537 and 26547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26537 and 26547, than apply into the LCM equation.

GCF(26537,26547) = 1
LCM(26537,26547) = ( 26537 × 26547) / 1
LCM(26537,26547) = 704477739 / 1
LCM(26537,26547) = 704477739

Least Common Multiple (LCM) of 26537 and 26547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26537 and 26547. First we will calculate the prime factors of 26537 and 26547.

Prime Factorization of 26537

Prime Factorization of 26547

Now multiplying the highest exponent prime factors to calculate the LCM of 26537 and 26547.

LCM(26537,26547) = 7¹ × 17¹ × 223¹ × 3¹ × 8849¹
LCM(26537,26547) = 704477739