What is the Least Common Multiple of 37552 and 37569?

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 37552 and 37569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37552 and 37569, than apply into the LCM equation.

GCF(37552,37569) = 1
LCM(37552,37569) = ( 37552 × 37569) / 1
LCM(37552,37569) = 1410791088 / 1
LCM(37552,37569) = 1410791088

Least Common Multiple (LCM) of 37552 and 37569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37552 and 37569. First we will calculate the prime factors of 37552 and 37569.

Prime Factorization of 37552

Prime Factorization of 37569

Now multiplying the highest exponent prime factors to calculate the LCM of 37552 and 37569.

LCM(37552,37569) = 2⁴ × 2347¹ × 3¹ × 7¹ × 1789¹
LCM(37552,37569) = 1410791088