What is the Least Common Multiple of 36442 and 36451?

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 36442 and 36451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36442 and 36451, than apply into the LCM equation.

GCF(36442,36451) = 1
LCM(36442,36451) = ( 36442 × 36451) / 1
LCM(36442,36451) = 1328347342 / 1
LCM(36442,36451) = 1328347342

Least Common Multiple (LCM) of 36442 and 36451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36442 and 36451. First we will calculate the prime factors of 36442 and 36451.

Prime Factorization of 36442

Prime Factorization of 36451

Now multiplying the highest exponent prime factors to calculate the LCM of 36442 and 36451.

LCM(36442,36451) = 2¹ × 7¹ × 19¹ × 137¹ × 36451¹
LCM(36442,36451) = 1328347342