What is the Least Common Multiple of 37710 and 37714?

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 37710 and 37714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37710 and 37714, than apply into the LCM equation.

GCF(37710,37714) = 2
LCM(37710,37714) = ( 37710 × 37714) / 2
LCM(37710,37714) = 1422194940 / 2
LCM(37710,37714) = 711097470

Least Common Multiple (LCM) of 37710 and 37714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37710 and 37714. First we will calculate the prime factors of 37710 and 37714.

Prime Factorization of 37710

Prime Factorization of 37714

Now multiplying the highest exponent prime factors to calculate the LCM of 37710 and 37714.

LCM(37710,37714) = 2¹ × 3² × 5¹ × 419¹ × 109¹ × 173¹
LCM(37710,37714) = 711097470