What is the Least Common Multiple of 37059 and 37077?

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 37059 and 37077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37059 and 37077, than apply into the LCM equation.

GCF(37059,37077) = 3
LCM(37059,37077) = ( 37059 × 37077) / 3
LCM(37059,37077) = 1374036543 / 3
LCM(37059,37077) = 458012181

Least Common Multiple (LCM) of 37059 and 37077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37059 and 37077. First we will calculate the prime factors of 37059 and 37077.

Prime Factorization of 37059

Prime Factorization of 37077

Now multiplying the highest exponent prime factors to calculate the LCM of 37059 and 37077.

LCM(37059,37077) = 3¹ × 11¹ × 1123¹ × 17¹ × 727¹
LCM(37059,37077) = 458012181