What is the Least Common Multiple of 37206 and 37211?

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 37211 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 37211, than apply into the LCM equation.

GCF(37206,37211) = 1
LCM(37206,37211) = ( 37206 × 37211) / 1
LCM(37206,37211) = 1384472466 / 1
LCM(37206,37211) = 1384472466

Least Common Multiple (LCM) of 37206 and 37211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37206 and 37211. First we will calculate the prime factors of 37206 and 37211.

Prime Factorization of 37206

Prime Factorization of 37211

Now multiplying the highest exponent prime factors to calculate the LCM of 37206 and 37211.

LCM(37206,37211) = 2¹ × 3³ × 13¹ × 53¹ × 127¹ × 293¹
LCM(37206,37211) = 1384472466