What is the Least Common Multiple of 51520 and 51538?

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 51520 and 51538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51520 and 51538, than apply into the LCM equation.

GCF(51520,51538) = 2
LCM(51520,51538) = ( 51520 × 51538) / 2
LCM(51520,51538) = 2655237760 / 2
LCM(51520,51538) = 1327618880

Least Common Multiple (LCM) of 51520 and 51538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51520 and 51538. First we will calculate the prime factors of 51520 and 51538.

Prime Factorization of 51520

Prime Factorization of 51538

Now multiplying the highest exponent prime factors to calculate the LCM of 51520 and 51538.

LCM(51520,51538) = 2⁶ × 5¹ × 7¹ × 23¹ × 73¹ × 353¹
LCM(51520,51538) = 1327618880