What is the Least Common Multiple of 37054 and 37062?

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 37054 and 37062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37054 and 37062, than apply into the LCM equation.

GCF(37054,37062) = 2
LCM(37054,37062) = ( 37054 × 37062) / 2
LCM(37054,37062) = 1373295348 / 2
LCM(37054,37062) = 686647674

Least Common Multiple (LCM) of 37054 and 37062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37054 and 37062. First we will calculate the prime factors of 37054 and 37062.

Prime Factorization of 37054

Prime Factorization of 37062

Now multiplying the highest exponent prime factors to calculate the LCM of 37054 and 37062.

LCM(37054,37062) = 2¹ × 97¹ × 191¹ × 3² × 29¹ × 71¹
LCM(37054,37062) = 686647674