What is the Least Common Multiple of 51208 and 51218?

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 51208 and 51218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51208 and 51218, than apply into the LCM equation.

GCF(51208,51218) = 2
LCM(51208,51218) = ( 51208 × 51218) / 2
LCM(51208,51218) = 2622771344 / 2
LCM(51208,51218) = 1311385672

Least Common Multiple (LCM) of 51208 and 51218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51208 and 51218. First we will calculate the prime factors of 51208 and 51218.

Prime Factorization of 51208

Prime Factorization of 51218

Now multiplying the highest exponent prime factors to calculate the LCM of 51208 and 51218.

LCM(51208,51218) = 2³ × 37¹ × 173¹ × 25609¹
LCM(51208,51218) = 1311385672