What is the Least Common Multiple of 51509 and 51524?

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 51509 and 51524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51509 and 51524, than apply into the LCM equation.

GCF(51509,51524) = 1
LCM(51509,51524) = ( 51509 × 51524) / 1
LCM(51509,51524) = 2653949716 / 1
LCM(51509,51524) = 2653949716

Least Common Multiple (LCM) of 51509 and 51524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51509 and 51524. First we will calculate the prime factors of 51509 and 51524.

Prime Factorization of 51509

Prime Factorization of 51524

Now multiplying the highest exponent prime factors to calculate the LCM of 51509 and 51524.

LCM(51509,51524) = 19¹ × 2711¹ × 2² × 11¹ × 1171¹
LCM(51509,51524) = 2653949716