What is the Least Common Multiple of 51210 and 51229?

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 51210 and 51229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51210 and 51229, than apply into the LCM equation.

GCF(51210,51229) = 1
LCM(51210,51229) = ( 51210 × 51229) / 1
LCM(51210,51229) = 2623437090 / 1
LCM(51210,51229) = 2623437090

Least Common Multiple (LCM) of 51210 and 51229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51210 and 51229. First we will calculate the prime factors of 51210 and 51229.

Prime Factorization of 51210

Prime Factorization of 51229

Now multiplying the highest exponent prime factors to calculate the LCM of 51210 and 51229.

LCM(51210,51229) = 2¹ × 3² × 5¹ × 569¹ × 51229¹
LCM(51210,51229) = 2623437090