What is the Least Common Multiple of 37638 and 37654?

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 37638 and 37654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37638 and 37654, than apply into the LCM equation.

GCF(37638,37654) = 2
LCM(37638,37654) = ( 37638 × 37654) / 2
LCM(37638,37654) = 1417221252 / 2
LCM(37638,37654) = 708610626

Least Common Multiple (LCM) of 37638 and 37654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37638 and 37654. First we will calculate the prime factors of 37638 and 37654.

Prime Factorization of 37638

Prime Factorization of 37654

Now multiplying the highest exponent prime factors to calculate the LCM of 37638 and 37654.

LCM(37638,37654) = 2¹ × 3³ × 17¹ × 41¹ × 67¹ × 281¹
LCM(37638,37654) = 708610626