What is the Least Common Multiple of 26552 and 26572?

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 26552 and 26572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26552 and 26572, than apply into the LCM equation.

GCF(26552,26572) = 4
LCM(26552,26572) = ( 26552 × 26572) / 4
LCM(26552,26572) = 705539744 / 4
LCM(26552,26572) = 176384936

Least Common Multiple (LCM) of 26552 and 26572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26552 and 26572. First we will calculate the prime factors of 26552 and 26572.

Prime Factorization of 26552

Prime Factorization of 26572

Now multiplying the highest exponent prime factors to calculate the LCM of 26552 and 26572.

LCM(26552,26572) = 2³ × 3319¹ × 7¹ × 13¹ × 73¹
LCM(26552,26572) = 176384936