What is the Least Common Multiple of 37996 and 38009?

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 37996 and 38009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37996 and 38009, than apply into the LCM equation.

GCF(37996,38009) = 1
LCM(37996,38009) = ( 37996 × 38009) / 1
LCM(37996,38009) = 1444189964 / 1
LCM(37996,38009) = 1444189964

Least Common Multiple (LCM) of 37996 and 38009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37996 and 38009. First we will calculate the prime factors of 37996 and 38009.

Prime Factorization of 37996

Prime Factorization of 38009

Now multiplying the highest exponent prime factors to calculate the LCM of 37996 and 38009.

LCM(37996,38009) = 2² × 7¹ × 23¹ × 59¹ × 191¹ × 199¹
LCM(37996,38009) = 1444189964