What is the Least Common Multiple of 37810 and 37814?

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 37810 and 37814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37810 and 37814, than apply into the LCM equation.

GCF(37810,37814) = 2
LCM(37810,37814) = ( 37810 × 37814) / 2
LCM(37810,37814) = 1429747340 / 2
LCM(37810,37814) = 714873670

Least Common Multiple (LCM) of 37810 and 37814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37810 and 37814. First we will calculate the prime factors of 37810 and 37814.

Prime Factorization of 37810

Prime Factorization of 37814

Now multiplying the highest exponent prime factors to calculate the LCM of 37810 and 37814.

LCM(37810,37814) = 2¹ × 5¹ × 19¹ × 199¹ × 7¹ × 37¹ × 73¹
LCM(37810,37814) = 714873670