What is the Least Common Multiple of 37958 and 37970?

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 37958 and 37970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37958 and 37970, than apply into the LCM equation.

GCF(37958,37970) = 2
LCM(37958,37970) = ( 37958 × 37970) / 2
LCM(37958,37970) = 1441265260 / 2
LCM(37958,37970) = 720632630

Least Common Multiple (LCM) of 37958 and 37970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37958 and 37970. First we will calculate the prime factors of 37958 and 37970.

Prime Factorization of 37958

Prime Factorization of 37970

Now multiplying the highest exponent prime factors to calculate the LCM of 37958 and 37970.

LCM(37958,37970) = 2¹ × 18979¹ × 5¹ × 3797¹
LCM(37958,37970) = 720632630