What is the Least Common Multiple of 6101 and 6106?

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 6101 and 6106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6101 and 6106, than apply into the LCM equation.

GCF(6101,6106) = 1
LCM(6101,6106) = ( 6101 × 6106) / 1
LCM(6101,6106) = 37252706 / 1
LCM(6101,6106) = 37252706

Least Common Multiple (LCM) of 6101 and 6106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6101 and 6106. First we will calculate the prime factors of 6101 and 6106.

Prime Factorization of 6101

Prime Factorization of 6106

Now multiplying the highest exponent prime factors to calculate the LCM of 6101 and 6106.

LCM(6101,6106) = 6101¹ × 2¹ × 43¹ × 71¹
LCM(6101,6106) = 37252706