What is the Least Common Multiple of 37398 and 37402?

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 37398 and 37402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37398 and 37402, than apply into the LCM equation.

GCF(37398,37402) = 2
LCM(37398,37402) = ( 37398 × 37402) / 2
LCM(37398,37402) = 1398759996 / 2
LCM(37398,37402) = 699379998

Least Common Multiple (LCM) of 37398 and 37402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37398 and 37402. First we will calculate the prime factors of 37398 and 37402.

Prime Factorization of 37398

Prime Factorization of 37402

Now multiplying the highest exponent prime factors to calculate the LCM of 37398 and 37402.

LCM(37398,37402) = 2¹ × 3¹ × 23¹ × 271¹ × 18701¹
LCM(37398,37402) = 699379998