What is the Least Common Multiple of 37206 and 37213?

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 37206 and 37213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37206 and 37213, than apply into the LCM equation.

GCF(37206,37213) = 1
LCM(37206,37213) = ( 37206 × 37213) / 1
LCM(37206,37213) = 1384546878 / 1
LCM(37206,37213) = 1384546878

Least Common Multiple (LCM) of 37206 and 37213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37206 and 37213. First we will calculate the prime factors of 37206 and 37213.

Prime Factorization of 37206

Prime Factorization of 37213

Now multiplying the highest exponent prime factors to calculate the LCM of 37206 and 37213.

LCM(37206,37213) = 2¹ × 3³ × 13¹ × 53¹ × 11¹ × 17¹ × 199¹
LCM(37206,37213) = 1384546878