What is the Least Common Multiple of 37067 and 37071?

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 37067 and 37071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37067 and 37071, than apply into the LCM equation.

GCF(37067,37071) = 1
LCM(37067,37071) = ( 37067 × 37071) / 1
LCM(37067,37071) = 1374110757 / 1
LCM(37067,37071) = 1374110757

Least Common Multiple (LCM) of 37067 and 37071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37067 and 37071. First we will calculate the prime factors of 37067 and 37071.

Prime Factorization of 37067

Prime Factorization of 37071

Now multiplying the highest exponent prime factors to calculate the LCM of 37067 and 37071.

LCM(37067,37071) = 101¹ × 367¹ × 3³ × 1373¹
LCM(37067,37071) = 1374110757