What is the Least Common Multiple of 37050 and 37069?

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 37050 and 37069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37050 and 37069, than apply into the LCM equation.

GCF(37050,37069) = 19
LCM(37050,37069) = ( 37050 × 37069) / 19
LCM(37050,37069) = 1373406450 / 19
LCM(37050,37069) = 72284550

Least Common Multiple (LCM) of 37050 and 37069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37050 and 37069. First we will calculate the prime factors of 37050 and 37069.

Prime Factorization of 37050

Prime Factorization of 37069

Now multiplying the highest exponent prime factors to calculate the LCM of 37050 and 37069.

LCM(37050,37069) = 2¹ × 3¹ × 5² × 13¹ × 19¹ × 1951¹
LCM(37050,37069) = 72284550