What is the Least Common Multiple of 37098 and 37105?

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 37098 and 37105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37098 and 37105, than apply into the LCM equation.

GCF(37098,37105) = 1
LCM(37098,37105) = ( 37098 × 37105) / 1
LCM(37098,37105) = 1376521290 / 1
LCM(37098,37105) = 1376521290

Least Common Multiple (LCM) of 37098 and 37105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37098 and 37105. First we will calculate the prime factors of 37098 and 37105.

Prime Factorization of 37098

Prime Factorization of 37105

Now multiplying the highest exponent prime factors to calculate the LCM of 37098 and 37105.

LCM(37098,37105) = 2¹ × 3⁴ × 229¹ × 5¹ × 41¹ × 181¹
LCM(37098,37105) = 1376521290