What is the Least Common Multiple of 37434 and 37440?

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 37434 and 37440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37434 and 37440, than apply into the LCM equation.

GCF(37434,37440) = 6
LCM(37434,37440) = ( 37434 × 37440) / 6
LCM(37434,37440) = 1401528960 / 6
LCM(37434,37440) = 233588160

Least Common Multiple (LCM) of 37434 and 37440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37434 and 37440. First we will calculate the prime factors of 37434 and 37440.

Prime Factorization of 37434

Prime Factorization of 37440

Now multiplying the highest exponent prime factors to calculate the LCM of 37434 and 37440.

LCM(37434,37440) = 2⁶ × 3² × 17¹ × 367¹ × 5¹ × 13¹
LCM(37434,37440) = 233588160