What is the Least Common Multiple of 51510 and 51520?

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 51510 and 51520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51510 and 51520, than apply into the LCM equation.

GCF(51510,51520) = 10
LCM(51510,51520) = ( 51510 × 51520) / 10
LCM(51510,51520) = 2653795200 / 10
LCM(51510,51520) = 265379520

Least Common Multiple (LCM) of 51510 and 51520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51510 and 51520. First we will calculate the prime factors of 51510 and 51520.

Prime Factorization of 51510

Prime Factorization of 51520

Now multiplying the highest exponent prime factors to calculate the LCM of 51510 and 51520.

LCM(51510,51520) = 2⁶ × 3¹ × 5¹ × 17¹ × 101¹ × 7¹ × 23¹
LCM(51510,51520) = 265379520