What is the Least Common Multiple of 26609 and 26628?

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 26609 and 26628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26609 and 26628, than apply into the LCM equation.

GCF(26609,26628) = 1
LCM(26609,26628) = ( 26609 × 26628) / 1
LCM(26609,26628) = 708544452 / 1
LCM(26609,26628) = 708544452

Least Common Multiple (LCM) of 26609 and 26628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26609 and 26628. First we will calculate the prime factors of 26609 and 26628.

Prime Factorization of 26609

Prime Factorization of 26628

Now multiplying the highest exponent prime factors to calculate the LCM of 26609 and 26628.

LCM(26609,26628) = 11¹ × 41¹ × 59¹ × 2² × 3¹ × 7¹ × 317¹
LCM(26609,26628) = 708544452