What is the Least Common Multiple of 51060 and 51077?

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 51060 and 51077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51060 and 51077, than apply into the LCM equation.

GCF(51060,51077) = 1
LCM(51060,51077) = ( 51060 × 51077) / 1
LCM(51060,51077) = 2607991620 / 1
LCM(51060,51077) = 2607991620

Least Common Multiple (LCM) of 51060 and 51077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51060 and 51077. First we will calculate the prime factors of 51060 and 51077.

Prime Factorization of 51060

Prime Factorization of 51077

Now multiplying the highest exponent prime factors to calculate the LCM of 51060 and 51077.

LCM(51060,51077) = 2² × 3¹ × 5¹ × 23¹ × 37¹ × 13¹ × 3929¹
LCM(51060,51077) = 2607991620