What is the Least Common Multiple of 37374 and 37381?

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 37374 and 37381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37374 and 37381, than apply into the LCM equation.

GCF(37374,37381) = 1
LCM(37374,37381) = ( 37374 × 37381) / 1
LCM(37374,37381) = 1397077494 / 1
LCM(37374,37381) = 1397077494

Least Common Multiple (LCM) of 37374 and 37381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37374 and 37381. First we will calculate the prime factors of 37374 and 37381.

Prime Factorization of 37374

Prime Factorization of 37381

Now multiplying the highest exponent prime factors to calculate the LCM of 37374 and 37381.

LCM(37374,37381) = 2¹ × 3¹ × 6229¹ × 29¹ × 1289¹
LCM(37374,37381) = 1397077494