What is the Least Common Multiple of 51524 and 51540?

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 51524 and 51540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51524 and 51540, than apply into the LCM equation.

GCF(51524,51540) = 4
LCM(51524,51540) = ( 51524 × 51540) / 4
LCM(51524,51540) = 2655546960 / 4
LCM(51524,51540) = 663886740

Least Common Multiple (LCM) of 51524 and 51540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51524 and 51540. First we will calculate the prime factors of 51524 and 51540.

Prime Factorization of 51524

Prime Factorization of 51540

Now multiplying the highest exponent prime factors to calculate the LCM of 51524 and 51540.

LCM(51524,51540) = 2² × 11¹ × 1171¹ × 3¹ × 5¹ × 859¹
LCM(51524,51540) = 663886740