What is the Least Common Multiple of 36552 and 36562?

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 36552 and 36562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36552 and 36562, than apply into the LCM equation.

GCF(36552,36562) = 2
LCM(36552,36562) = ( 36552 × 36562) / 2
LCM(36552,36562) = 1336414224 / 2
LCM(36552,36562) = 668207112

Least Common Multiple (LCM) of 36552 and 36562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36552 and 36562. First we will calculate the prime factors of 36552 and 36562.

Prime Factorization of 36552

Prime Factorization of 36562

Now multiplying the highest exponent prime factors to calculate the LCM of 36552 and 36562.

LCM(36552,36562) = 2³ × 3¹ × 1523¹ × 101¹ × 181¹
LCM(36552,36562) = 668207112