What is the Least Common Multiple of 37686 and 37693?

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 37686 and 37693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37686 and 37693, than apply into the LCM equation.

GCF(37686,37693) = 1
LCM(37686,37693) = ( 37686 × 37693) / 1
LCM(37686,37693) = 1420498398 / 1
LCM(37686,37693) = 1420498398

Least Common Multiple (LCM) of 37686 and 37693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37686 and 37693. First we will calculate the prime factors of 37686 and 37693.

Prime Factorization of 37686

Prime Factorization of 37693

Now multiplying the highest exponent prime factors to calculate the LCM of 37686 and 37693.

LCM(37686,37693) = 2¹ × 3¹ × 11¹ × 571¹ × 37693¹
LCM(37686,37693) = 1420498398