GCF and LCM Calculator Logo

What is the Least Common Multiple of 37562 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 (LCM) of 37562 and 37569 is 201595254.

LCM(37562,37569) = 201595254

LCM Calculator and
and

Least Common Multiple of 37562 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 37562 and 37569, than apply into the LCM equation.

GCF(37562,37569) = 7
LCM(37562,37569) = ( 37562 × 37569) / 7
LCM(37562,37569) = 1411166778 / 7
LCM(37562,37569) = 201595254

Least Common Multiple (LCM) of 37562 and 37569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37562 and 37569. First we will calculate the prime factors of 37562 and 37569.

Prime Factorization of 37562

Prime factors of 37562 are 2, 7, 2683. Prime factorization of 37562 in exponential form is:

37562 = 21 × 71 × 26831

Prime Factorization of 37569

Prime factors of 37569 are 3, 7, 1789. Prime factorization of 37569 in exponential form is:

37569 = 31 × 71 × 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 37562 and 37569.

LCM(37562,37569) = 21 × 71 × 26831 × 31 × 17891
LCM(37562,37569) = 201595254