What is the Least Common Multiple of 37644 and 37651?

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 37644 and 37651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37644 and 37651, than apply into the LCM equation.

GCF(37644,37651) = 1
LCM(37644,37651) = ( 37644 × 37651) / 1
LCM(37644,37651) = 1417334244 / 1
LCM(37644,37651) = 1417334244

Least Common Multiple (LCM) of 37644 and 37651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37644 and 37651. First we will calculate the prime factors of 37644 and 37651.

Prime Factorization of 37644

Prime Factorization of 37651

Now multiplying the highest exponent prime factors to calculate the LCM of 37644 and 37651.

LCM(37644,37651) = 2² × 3¹ × 3137¹ × 23¹ × 1637¹
LCM(37644,37651) = 1417334244