What is the Least Common Multiple of 51520 and 51534?

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 51534 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 51534, than apply into the LCM equation.

GCF(51520,51534) = 14
LCM(51520,51534) = ( 51520 × 51534) / 14
LCM(51520,51534) = 2655031680 / 14
LCM(51520,51534) = 189645120

Least Common Multiple (LCM) of 51520 and 51534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51520 and 51534. First we will calculate the prime factors of 51520 and 51534.

Prime Factorization of 51520

Prime Factorization of 51534

Now multiplying the highest exponent prime factors to calculate the LCM of 51520 and 51534.

LCM(51520,51534) = 2⁶ × 5¹ × 7¹ × 23¹ × 3² × 409¹
LCM(51520,51534) = 189645120