What is the Least Common Multiple of 37042 and 37054?

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 37042 and 37054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37042 and 37054, than apply into the LCM equation.

GCF(37042,37054) = 2
LCM(37042,37054) = ( 37042 × 37054) / 2
LCM(37042,37054) = 1372554268 / 2
LCM(37042,37054) = 686277134

Least Common Multiple (LCM) of 37042 and 37054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37042 and 37054. First we will calculate the prime factors of 37042 and 37054.

Prime Factorization of 37042

Prime Factorization of 37054

Now multiplying the highest exponent prime factors to calculate the LCM of 37042 and 37054.

LCM(37042,37054) = 2¹ × 18521¹ × 97¹ × 191¹
LCM(37042,37054) = 686277134